72504456 has 128 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 20984832.

The previous prime is 72504449. The next prime is 72504457. The reversal of 72504456 is 65440527.

It is a super-2 number, since 2×72504456² = 10513792279711872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72504457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364245 + ... + 364443.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 2^72504456 is an apocalyptic number.

72504456 is a gapful number since it is divisible by the number (76) 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 72504456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

72504456 is an abundant number, since it is smaller than the sum of its proper divisors (134855544).

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

72504456 is a wasteful number, since it uses less digits than its factorization.

72504456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 72504456 is about 8514.9548442725. The cubic root of 72504456 is about 416.9860883627.

The spelling of 72504456 in words is "seventy-two million, five hundred four thousand, four hundred fifty-six".