99372000 has 432 divisors, whose sum is σ = 410063472. Its totient is φ = 20966400.

The previous prime is 99371977. The next prime is 99372023. The reversal of 99372000 is 27399.

It is an interprime number because it is at equal distance from previous prime (99371977) and next prime (99372023).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7643994 + ... + 7644006.

It is an arithmetic number, because the mean of its divisors is an integer number (949221).

Almost surely, 2^99372000 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 99372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031736).

99372000 is an abundant number, since it is smaller than the sum of its proper divisors (310691472).

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

99372000 is a wasteful number, since it uses less digits than its factorization.

99372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 99372000 is about 9968.5505465940. The cubic root of 99372000 is about 463.1852030078.

Multiplying 99372000 by its sum of digits (30), we get a square (2981160000 = 54600²).

99372000 divided by its sum of digits (30) gives a square (3312400 = 1820²).

Adding to 99372000 its reverse (27399), we get a palindrome (99399399).

The spelling of 99372000 in words is "ninety-nine million, three hundred seventy-two thousand".