90072084 has 48 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 28272096.

The previous prime is 90072079. The next prime is 90072107. The reversal of 90072084 is 48027009.

It is a super-2 number, since 2×90072084² = 16225960632206112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39709 + ... + 41915.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^90072084 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 90072084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

90072084 is an abundant number, since it is smaller than the sum of its proper divisors (132494316).

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

90072084 is a wasteful number, since it uses less digits than its factorization.

90072084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 90072084 is about 9490.6313804720. The cubic root of 90072084 is about 448.2600862758.

The spelling of 90072084 in words is "ninety million, seventy-two thousand, eighty-four".