97752144 has 80 divisors (see below), whose sum is σ = 293552640. Its totient is φ = 27450240.

The previous prime is 97752133. The next prime is 97752157. The reversal of 97752144 is 44125779.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (3669408).

Almost surely, 2^97752144 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 97752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146776320).

97752144 is an abundant number, since it is smaller than the sum of its proper divisors (195800496).

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

97752144 is a wasteful number, since it uses less digits than its factorization.

97752144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 5002 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 97752144 is about 9886.9683927886. The cubic root of 97752144 is about 460.6546193336.

The spelling of 97752144 in words is "ninety-seven million, seven hundred fifty-two thousand, one hundred forty-four".