90016272 has 50 divisors (see below), whose sum is σ = 260536958. Its totient is φ = 30004992.

The previous prime is 90016253. The next prime is 90016307. The reversal of 90016272 is 27261009.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 29550096 = 7776^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33433 + ... + 36024.

Almost surely, 2^90016272 is an apocalyptic number.

It is an amenable number.

90016272 is an abundant number, since it is smaller than the sum of its proper divisors (170520686).

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

90016272 is a wasteful number, since it uses less digits than its factorization.

90016272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69477 (or 69462 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90016272 is about 9487.6905514461. The cubic root of 90016272 is about 448.1674809608.

The spelling of 90016272 in words is "ninety million, sixteen thousand, two hundred seventy-two".