97180272 has 120 divisors (see below), whose sum is σ = 312921440. Its totient is φ = 27578880.

The previous prime is 97180261. The next prime is 97180283. The reversal of 97180272 is 27208179.

It is an interprime number because it is at equal distance from previous prime (97180261) and next prime (97180283).

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, 230622 + ... + 231042.

Almost surely, 2^97180272 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 97180272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156460720).

97180272 is an abundant number, since it is smaller than the sum of its proper divisors (215741168).

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

97180272 is a wasteful number, since it uses less digits than its factorization.

97180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 97180272 is about 9858.0054777830. The cubic root of 97180272 is about 459.7545508448.

The spelling of 97180272 in words is "ninety-seven million, one hundred eighty thousand, two hundred seventy-two".