97759872 has 192 divisors, whose sum is σ = 334152000. Its totient is φ = 27869184.

The previous prime is 97759853. The next prime is 97759897. The reversal of 97759872 is 27895779.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 217504 + ... + 217952.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^97759872 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 97759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

97759872 is an abundant number, since it is smaller than the sum of its proper divisors (236392128).

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

97759872 is an equidigital number, since it uses as much as digits as its factorization.

97759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 97759872 is about 9887.3592025373. The cubic root of 97759872 is about 460.6667583515. Note that the first 3 decimals are identical.

The spelling of 97759872 in words is "ninety-seven million, seven hundred fifty-nine thousand, eight hundred seventy-two".