90037200 has 240 divisors, whose sum is σ = 332121600. Its totient is φ = 20620800.

The previous prime is 90037153. The next prime is 90037229. The reversal of 90037200 is 273009.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250621 + ... + 250979.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 2^90037200 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 90037200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

90037200 is an abundant number, since it is smaller than the sum of its proper divisors (242084400).

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

90037200 is a wasteful number, since it uses less digits than its factorization.

90037200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 90037200 is about 9488.7933900997. The cubic root of 90037200 is about 448.2022099495.

The spelling of 90037200 in words is "ninety million, thirty-seven thousand, two hundred".