97205472 has 144 divisors (see below), whose sum is σ = 340310880. Its totient is φ = 25629696.

The previous prime is 97205453. The next prime is 97205483. The reversal of 97205472 is 27450279.

97205472 is a `hidden beast` number, since 97 + 20 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 24354 + ... + 28062.

It is an arithmetic number, because the mean of its divisors is an integer number (2363270).

Almost surely, 2^97205472 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 97205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170155440).

97205472 is an abundant number, since it is smaller than the sum of its proper divisors (243105408).

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

97205472 is a wasteful number, since it uses less digits than its factorization.

97205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3734 counting only the distinct ones).

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

The square root of 97205472 is about 9859.2835439498. The cubic root of 97205472 is about 459.7942873508.

The spelling of 97205472 in words is "ninety-seven million, two hundred five thousand, four hundred seventy-two".