97872192 has 224 divisors, whose sum is σ = 331622400. Its totient is φ = 27993600.

The previous prime is 97872163. The next prime is 97872197. The reversal of 97872192 is 29127879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97872197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361017 + ... + 361287.

Almost surely, 2^97872192 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 97872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

97872192 is an abundant number, since it is smaller than the sum of its proper divisors (233750208).

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

97872192 is a wasteful number, since it uses less digits than its factorization.

97872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 97872192 is about 9893.0375517330. The cubic root of 97872192 is about 460.8431166252.

The spelling of 97872192 in words is "ninety-seven million, eight hundred seventy-two thousand, one hundred ninety-two".