72532 has 6 divisors (see below), whose sum is σ = 126938. Its totient is φ = 36264.

The previous prime is 72503. The next prime is 72533. The reversal of 72532 is 23527.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 12996 = 244^2 + 114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72533) by changing a digit.

72532 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 as a sum of consecutive naturals, namely, 9063 + ... + 9070.

2⁷²⁵³² is an apocalyptic number.

It is an amenable number.

72532 is a deficient number, since it is larger than the sum of its proper divisors (54406).

72532 is a wasteful number, since it uses less digits than its factorization.

72532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137 (or 18135 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 72532 is about 269.3176563094. The cubic root of 72532 is about 41.7038885167.

It can be divided in two parts, 725 and 32, that added together give a palindrome (757).

The spelling of 72532 in words is "seventy-two thousand, five hundred thirty-two".