97124272 has 90 divisors (see below), whose sum is σ = 227455308. Its totient is φ = 40049856.

The previous prime is 97124243. The next prime is 97124303. The reversal of 97124272 is 27242179.

It is a happy number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1449583 + ... + 1449649.

Almost surely, 2^97124272 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 97124272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113727654).

97124272 is an abundant number, since it is smaller than the sum of its proper divisors (130331036).

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

97124272 is a wasteful number, since it uses less digits than its factorization.

97124272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 119 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 97124272 is about 9855.1647373344. The cubic root of 97124272 is about 459.6662228975. Note that the first 3 decimals are identical.

The spelling of 97124272 in words is "ninety-seven million, one hundred twenty-four thousand, two hundred seventy-two".