90081072 has 70 divisors (see below), whose sum is σ = 261712292. Its totient is φ = 30023136.

The previous prime is 90081067. The next prime is 90081077. The reversal of 90081072 is 27018009.

It is an interprime number because it is at equal distance from previous prime (90081067) and next prime (90081077).

It is a super-2 number, since 2×90081072² = 16229199065338368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90081077) 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 13 ways as a sum of consecutive naturals, for example, 7803 + ... + 15525.

Almost surely, 2^90081072 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 90081072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130856146).

90081072 is an abundant number, since it is smaller than the sum of its proper divisors (171631220).

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

90081072 is an equidigital number, since it uses as much as digits as its factorization.

90081072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 90081072 is about 9491.1048882625. The cubic root of 90081072 is about 448.2749959181.

The spelling of 90081072 in words is "ninety million, eighty-one thousand, seventy-two".