97401872 has 40 divisors (see below), whose sum is σ = 200195520. Its totient is φ = 45809280.

The previous prime is 97401869. The next prime is 97401881. The reversal of 97401872 is 27810479.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20279 + ... + 24617.

It is an arithmetic number, because the mean of its divisors is an integer number (5004888).

Almost surely, 2^97401872 is an apocalyptic number.

97401872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100097760).

97401872 is an abundant number, since it is smaller than the sum of its proper divisors (102793648).

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

97401872 is a wasteful number, since it uses less digits than its factorization.

97401872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 97401872 is about 9869.2386737782. The cubic root of 97401872 is about 460.1037447164.

The spelling of 97401872 in words is "ninety-seven million, four hundred one thousand, eight hundred seventy-two".