90972000 has 432 divisors, whose sum is σ = 389424672. Its totient is φ = 19699200.

The previous prime is 90971987. The next prime is 90972029. The reversal of 90972000 is 27909.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4787991 + ... + 4788009.

It is an arithmetic number, because the mean of its divisors is an integer number (901446).

Almost surely, 2^90972000 is an apocalyptic number.

90972000 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 90972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194712336).

90972000 is an abundant number, since it is smaller than the sum of its proper divisors (298452672).

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

90972000 is a wasteful number, since it uses less digits than its factorization.

90972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

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

The square root of 90972000 is about 9537.9243024885. The cubic root of 90972000 is about 449.7480070624.

Adding to 90972000 its reverse (27909), we get a palindrome (90999909).

The spelling of 90972000 in words is "ninety million, nine hundred seventy-two thousand".