90272000 has 288 divisors, whose sum is σ = 285702144. Its totient is φ = 27648000.

The previous prime is 90271999. The next prime is 90272011. The reversal of 90272000 is 27209.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911985 + ... + 2912015.

Almost surely, 2^90272000 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 90272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142851072).

90272000 is an abundant number, since it is smaller than the sum of its proper divisors (195430144).

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

90272000 is a wasteful number, since it uses less digits than its factorization.

90272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 90272000 is about 9501.1578241812. The cubic root of 90272000 is about 448.5914806473.

Adding to 90272000 its reverse (27209), we get a palindrome (90299209).

The spelling of 90272000 in words is "ninety million, two hundred seventy-two thousand".