97270272 has 240 divisors, whose sum is σ = 325559520. Its totient is φ = 27648000.

The previous prime is 97270249. The next prime is 97270297. The reversal of 97270272 is 27207279.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963022 + ... + 963122.

It is an arithmetic number, because the mean of its divisors is an integer number (1356498).

Almost surely, 2^97270272 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 97270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162779760).

97270272 is an abundant number, since it is smaller than the sum of its proper divisors (228289248).

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

97270272 is a wasteful number, since it uses less digits than its factorization.

97270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 97270272 is about 9862.5692393007. The cubic root of 97270272 is about 459.8964354123.

The spelling of 97270272 in words is "ninety-seven million, two hundred seventy thousand, two hundred seventy-two".