97252272 has 80 divisors (see below), whose sum is σ = 300640480. Its totient is φ = 29922048.

The previous prime is 97252261. The next prime is 97252273. The reversal of 97252272 is 27225279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97252273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3043 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (3758006).

Almost surely, 2^97252272 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 97252272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150320240).

97252272 is an abundant number, since it is smaller than the sum of its proper divisors (203388208).

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

97252272 is a wasteful number, since it uses less digits than its factorization.

97252272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17347 (or 17335 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 97252272 is about 9861.6566559580. The cubic root of 97252272 is about 459.8680655026.

It can be divided in two parts, 972 and 52272, that multiplied together give a square (50808384 = 7128²).

The spelling of 97252272 in words is "ninety-seven million, two hundred fifty-two thousand, two hundred seventy-two".