72152 has 16 divisors (see below), whose sum is σ = 140400. Its totient is φ = 34720.

The previous prime is 72139. The next prime is 72161. The reversal of 72152 is 25127.

It is a super-2 number, since 2×72152² = 10411822208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72152.

It is a congruent number.

It is an unprimeable number.

72152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2⁷²¹⁵² is an apocalyptic number.

It is an amenable number.

72152 is a deficient number, since it is larger than the sum of its proper divisors (68248).

72152 is a wasteful number, since it uses less digits than its factorization.

72152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 72152 is about 268.6112432494. The cubic root of 72152 is about 41.6309311379.

Adding to 72152 its reverse (25127), we get a palindrome (97279).

The spelling of 72152 in words is "seventy-two thousand, one hundred fifty-two".