72538752 has 128 divisors (see below), whose sum is σ = 226537920. Its totient is φ = 20275200.

The previous prime is 72538747. The next prime is 72538777. The reversal of 72538752 is 25783527.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72538752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54252 + ... + 55572.

Almost surely, 2^72538752 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 72538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113268960).

72538752 is an abundant number, since it is smaller than the sum of its proper divisors (153999168).

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

72538752 is a wasteful number, since it uses less digits than its factorization.

72538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1350 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 72538752 is about 8516.9684747567. The cubic root of 72538752 is about 417.0518254745.

The spelling of 72538752 in words is "seventy-two million, five hundred thirty-eight thousand, seven hundred fifty-two".