72302400 has 126 divisors (see below), whose sum is σ = 257030982. Its totient is φ = 19276800.

The previous prime is 72302389. The next prime is 72302407. The reversal of 72302400 is 420327.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15872256 + 56430144 = 3984^2 + 7512^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72302407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 11890 + ... + 16910.

Almost surely, 2^72302400 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 72302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128515491).

72302400 is an abundant number, since it is smaller than the sum of its proper divisors (184728582).

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

72302400 is a wasteful number, since it uses less digits than its factorization.

72302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72302400 is about 8503.0817942673. The cubic root of 72302400 is about 416.5983745852.

Adding to 72302400 its reverse (420327), we get a palindrome (72722727).

The spelling of 72302400 in words is "seventy-two million, three hundred two thousand, four hundred".