73721100 has 72 divisors (see below), whose sum is σ = 220208128. Its totient is φ = 19022400.

The previous prime is 73721099. The next prime is 73721101. The reversal of 73721100 is 112737.

It is an interprime number because it is at equal distance from previous prime (73721099) and next prime (73721101).

It is not an unprimeable number, because it can be changed into a prime (73721101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5337 + ... + 13263.

Almost surely, 2^73721100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73721100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110104064).

73721100 is an abundant number, since it is smaller than the sum of its proper divisors (146487028).

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

73721100 is a wasteful number, since it uses less digits than its factorization.

73721100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 73721100 is about 8586.0992307334. The cubic root of 73721100 is about 419.3055417079.

Adding to 73721100 its reverse (112737), we get a palindrome (73833837).

The spelling of 73721100 in words is "seventy-three million, seven hundred twenty-one thousand, one hundred".