97572 has 24 divisors (see below), whose sum is σ = 233856. Its totient is φ = 31648.

The previous prime is 97571. The next prime is 97577. The reversal of 97572 is 27579.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (9744).

2⁹⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

97572 is an abundant number, since it is smaller than the sum of its proper divisors (136284).

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 (116928).

97572 is a wasteful number, since it uses less digits than its factorization.

97572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 97572 is about 312.3651709138. The cubic root of 97572 is about 46.0371470577.

The spelling of 97572 in words is "ninety-seven thousand, five hundred seventy-two".