97524720 has 120 divisors (see below), whose sum is σ = 344806800. Its totient is φ = 24634368.

The previous prime is 97524643. The next prime is 97524727. The reversal of 97524720 is 2742579.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×97524720² = 19022142022156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97524727) 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 23 ways as a sum of consecutive naturals, for example, 10116 + ... + 17244.

It is an arithmetic number, because the mean of its divisors is an integer number (2873390).

Almost surely, 2^97524720 is an apocalyptic number.

97524720 is a gapful number since it is divisible by the number (90) 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 97524720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172403400).

97524720 is an abundant number, since it is smaller than the sum of its proper divisors (247282080).

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

97524720 is a wasteful number, since it uses less digits than its factorization.

97524720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97524720 is about 9875.4604955921. The cubic root of 97524720 is about 460.2970985579.

The spelling of 97524720 in words is "ninety-seven million, five hundred twenty-four thousand, seven hundred twenty".