90275472 has 240 divisors, whose sum is σ = 311980032. Its totient is φ = 24727680.

The previous prime is 90275461. The next prime is 90275477. The reversal of 90275472 is 27457209.

90275472 is a `hidden beast` number, since 90 + 27 + 547 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90275477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843643 + ... + 843749.

Almost surely, 2^90275472 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 90275472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

90275472 is an abundant number, since it is smaller than the sum of its proper divisors (221704560).

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

90275472 is a wasteful number, since it uses less digits than its factorization.

90275472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 90275472 is about 9501.3405369979. The cubic root of 90275472 is about 448.5972317464.

The spelling of 90275472 in words is "ninety million, two hundred seventy-five thousand, four hundred seventy-two".