73744020 has 180 divisors, whose sum is σ = 269396820. Its totient is φ = 16837632.

The previous prime is 73744007. The next prime is 73744031. The reversal of 73744020 is 2044737.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 63011844 = 3276^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78916 + ... + 79844.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^73744020 is an apocalyptic number.

73744020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73744020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134698410).

73744020 is an abundant number, since it is smaller than the sum of its proper divisors (195652800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73744020 is a wasteful number, since it uses less digits than its factorization.

73744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73744020 is about 8587.4338425399. The cubic root of 73744020 is about 419.3489914448.

Adding to 73744020 its reverse (2044737), we get a palindrome (75788757).

The spelling of 73744020 in words is "seventy-three million, seven hundred forty-four thousand, twenty".