97872320 has 112 divisors (see below), whose sum is σ = 286926528. Its totient is φ = 30965760.

The previous prime is 97872317. The next prime is 97872329. The reversal of 97872320 is 2327879.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97872329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27440 + ... + 30800.

It is an arithmetic number, because the mean of its divisors is an integer number (2561844).

Almost surely, 2^97872320 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 97872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143463264).

97872320 is an abundant number, since it is smaller than the sum of its proper divisors (189054208).

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

97872320 is a wasteful number, since it uses less digits than its factorization.

97872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 97872320 is about 9893.0440209270. The cubic root of 97872320 is about 460.8433175263.

The spelling of 97872320 in words is "ninety-seven million, eight hundred seventy-two thousand, three hundred twenty".