90072087572700 has 432 divisors, whose sum is σ = 290624023872000. Its totient is φ = 23319116620800.

The previous prime is 90072087572681. The next prime is 90072087572723. The reversal of 90072087572700 is 727578027009.

90072087572700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90072087572700² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17664654751 + ... + 17664659849.

It is an arithmetic number, because the mean of its divisors is an integer number (672740796000).

Almost surely, 2^{90072087572700} is an apocalyptic number.

90072087572700 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 90072087572700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145312011936000).

90072087572700 is an abundant number, since it is smaller than the sum of its proper divisors (200551936299300).

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

90072087572700 is a wasteful number, since it uses less digits than its factorization.

90072087572700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7402 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 90072087572700 in words is "ninety trillion, seventy-two billion, eighty-seven million, five hundred seventy-two thousand, seven hundred".