90772500 has 360 divisors, whose sum is σ = 349013280. Its totient is φ = 18144000.

The previous prime is 90772499. The next prime is 90772529. The reversal of 90772500 is 527709.

It is a happy number.

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 119 ways as a sum of consecutive naturals, for example, 4777491 + ... + 4777509.

Almost surely, 2^90772500 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 90772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174506640).

90772500 is an abundant number, since it is smaller than the sum of its proper divisors (258240780).

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

90772500 is a wasteful number, since it uses less digits than its factorization.

90772500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 90772500 is about 9527.4603121713. The cubic root of 90772500 is about 449.4190032822.

The spelling of 90772500 in words is "ninety million, seven hundred seventy-two thousand, five hundred".