72265504 has 48 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 33510400.

The previous prime is 72265483. The next prime is 72265511. The reversal of 72265504 is 40556227.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37689 + ... + 39559.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^72265504 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 72265504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

72265504 is an abundant number, since it is smaller than the sum of its proper divisors (80579552).

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

72265504 is a wasteful number, since it uses less digits than its factorization.

72265504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 72265504 is about 8500.9119510791. The cubic root of 72265504 is about 416.5274989806.

The spelling of 72265504 in words is "seventy-two million, two hundred sixty-five thousand, five hundred four".