99972600 has 192 divisors, whose sum is σ = 381642240. Its totient is φ = 21081600.

The previous prime is 99972589. The next prime is 99972601. The reversal of 99972600 is 627999.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99972601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53685 + ... + 55515.

It is an arithmetic number, because the mean of its divisors is an integer number (1987720).

Almost surely, 2^99972600 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 99972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190821120).

99972600 is an abundant number, since it is smaller than the sum of its proper divisors (281669640).

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

99972600 is a wasteful number, since it uses less digits than its factorization.

99972600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 99972600 is about 9998.6299061421. The cubic root of 99972600 is about 464.1164863108.

The spelling of 99972600 in words is "ninety-nine million, nine hundred seventy-two thousand, six hundred".