72952 has 16 divisors (see below), whose sum is σ = 149400. Its totient is φ = 33120.

The previous prime is 72949. The next prime is 72953. The reversal of 72952 is 25927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327 + ... + 502.

2⁷²⁹⁵² is an apocalyptic number.

It is an amenable number.

72952 is an abundant number, since it is smaller than the sum of its proper divisors (76448).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74700).

72952 is a wasteful number, since it uses less digits than its factorization.

72952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 72952 is about 270.0962791302. The cubic root of 72952 is about 41.7842297599.

Subtracting from 72952 its sum of digits (25), we obtain a palindrome (72927).

It can be divided in two parts, 72 and 952, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 72952 in words is "seventy-two thousand, nine hundred fifty-two".