72551752 has 96 divisors (see below), whose sum is σ = 178113600. Its totient is φ = 27409536.

The previous prime is 72551723. The next prime is 72551761. The reversal of 72551752 is 25715527.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116899 + ... + 117517.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^72551752 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 72551752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

72551752 is an abundant number, since it is smaller than the sum of its proper divisors (105561848).

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

72551752 is a wasteful number, since it uses less digits than its factorization.

72551752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 24500, while the sum is 34.

The square root of 72551752 is about 8517.7316229146. The cubic root of 72551752 is about 417.0767379052.

The spelling of 72551752 in words is "seventy-two million, five hundred fifty-one thousand, seven hundred fifty-two".