72052 has 6 divisors (see below), whose sum is σ = 126098. Its totient is φ = 36024.

The previous prime is 72047. The next prime is 72053. The reversal of 72052 is 25027.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 1296 = 266^2 + 36^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9003 + ... + 9010.

2⁷²⁰⁵² is an apocalyptic number.

It is an amenable number.

72052 is a deficient number, since it is larger than the sum of its proper divisors (54046).

72052 is a wasteful number, since it uses less digits than its factorization.

72052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18017 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 72052 is about 268.4250360902. The cubic root of 72052 is about 41.6116892693.

Adding to 72052 its reverse (25027), we get a palindrome (97079).

The spelling of 72052 in words is "seventy-two thousand, fifty-two".