72603752 has 48 divisors (see below), whose sum is σ = 149415840. Its totient is φ = 33054528.

The previous prime is 72603721. The next prime is 72603761. The reversal of 72603752 is 25730627.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111893 + ... + 112539.

It is an arithmetic number, because the mean of its divisors is an integer number (3112830).

Almost surely, 2^72603752 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 72603752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74707920).

72603752 is an abundant number, since it is smaller than the sum of its proper divisors (76812088).

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

72603752 is a wasteful number, since it uses less digits than its factorization.

72603752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72603752 is about 8520.7835320468. The cubic root of 72603752 is about 417.1763578792.

The spelling of 72603752 in words is "seventy-two million, six hundred three thousand, seven hundred fifty-two".