97923072 has 104 divisors (see below), whose sum is σ = 281639344. Its totient is φ = 30081024.

The previous prime is 97923031. The next prime is 97923073. The reversal of 97923072 is 27032979.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 97923072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97923073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159438 + ... + 160050.

Almost surely, 2^97923072 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 97923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140819672).

97923072 is an abundant number, since it is smaller than the sum of its proper divisors (183716272).

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

97923072 is a wasteful number, since it uses less digits than its factorization.

97923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 97923072 is about 9895.6087230650. The cubic root of 97923072 is about 460.9229610130.

The spelling of 97923072 in words is "ninety-seven million, nine hundred twenty-three thousand, seventy-two".