99072000 has 288 divisors, whose sum is σ = 365405040. Its totient is φ = 25804800.

The previous prime is 99071989. The next prime is 99072007. The reversal of 99072000 is 27099.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×99072000² = 19630522368000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99072007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303979 + ... + 2304021.

Almost surely, 2^99072000 is an apocalyptic number.

99072000 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 99072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182702520).

99072000 is an abundant number, since it is smaller than the sum of its proper divisors (266333040).

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

99072000 is a wasteful number, since it uses less digits than its factorization.

99072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 99072000 is about 9953.4918495973. The cubic root of 99072000 is about 462.7186207726.

Adding to 99072000 its reverse (27099), we get a palindrome (99099099).

The spelling of 99072000 in words is "ninety-nine million, seventy-two thousand".