90135972 has 72 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 27360000.

The previous prime is 90135967. The next prime is 90136001. The reversal of 90135972 is 27953109.

It is a super-3 number, since 3×90135972³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16597 + ... + 21347.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2^90135972 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 90135972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

90135972 is an abundant number, since it is smaller than the sum of its proper divisors (158944860).

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

90135972 is a wasteful number, since it uses less digits than its factorization.

90135972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90135972 is about 9493.9966294496. The cubic root of 90135972 is about 448.3660446398.

The spelling of 90135972 in words is "ninety million, one hundred thirty-five thousand, nine hundred seventy-two".