72257504 has 48 divisors (see below), whose sum is σ = 156473856. Its totient is φ = 32572800.

The previous prime is 72257503. The next prime is 72257527. The reversal of 72257504 is 40575227.

It is a super-2 number, since 2×72257504² = 10442293768620032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72257503) 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 7 ways as a sum of consecutive naturals, for example, 45329 + ... + 46895.

It is an arithmetic number, because the mean of its divisors is an integer number (3259872).

Almost surely, 2^72257504 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 72257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78236928).

72257504 is an abundant number, since it is smaller than the sum of its proper divisors (84216352).

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

72257504 is a wasteful number, since it uses less digits than its factorization.

72257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 72257504 is about 8500.4414003039. The cubic root of 72257504 is about 416.5121281477.

The spelling of 72257504 in words is "seventy-two million, two hundred fifty-seven thousand, five hundred four".