97725600 has 324 divisors, whose sum is σ = 402314094. Its totient is φ = 22256640.

The previous prime is 97725583. The next prime is 97725613. The reversal of 97725600 is 652779.

97725600 is a `hidden beast` number, since 97 + 7 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 55890576 + 41835024 = 7476^2 + 6468^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352662 + ... + 352938.

Almost surely, 2^97725600 is an apocalyptic number.

97725600 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 97725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201157047).

97725600 is an abundant number, since it is smaller than the sum of its proper divisors (304588494).

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

97725600 is a wasteful number, since it uses less digits than its factorization.

97725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97725600 is about 9885.6259285894. The cubic root of 97725600 is about 460.6129195724.

The spelling of 97725600 in words is "ninety-seven million, seven hundred twenty-five thousand, six hundred".