97657272 has 128 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 31269888.

The previous prime is 97657271. The next prime is 97657277. The reversal of 97657272 is 27275679.

97657272 is a `hidden beast` number, since 9 + 7 + 6 + 572 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97657271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006728 + ... + 1006824.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 2^97657272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97657272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120000).

97657272 is an abundant number, since it is smaller than the sum of its proper divisors (184582728).

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

97657272 is a wasteful number, since it uses less digits than its factorization.

97657272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 97657272 is about 9882.1693974552. The cubic root of 97657272 is about 460.5055437587.

The spelling of 97657272 in words is "ninety-seven million, six hundred fifty-seven thousand, two hundred seventy-two".