90939072 has 112 divisors (see below), whose sum is σ = 279148032. Its totient is φ = 25589760.

The previous prime is 90939067. The next prime is 90939077. The reversal of 90939072 is 27093909.

It is an interprime number because it is at equal distance from previous prime (90939067) and next prime (90939077).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 90939072.

It is not an unprimeable number, because it can be changed into a prime (90939077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94948 + ... + 95900.

Almost surely, 2^90939072 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 90939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574016).

90939072 is an abundant number, since it is smaller than the sum of its proper divisors (188208960).

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

90939072 is a wasteful number, since it uses less digits than its factorization.

90939072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 90939072 is about 9536.1979845219. The cubic root of 90939072 is about 449.6937372889.

It can be divided in two parts, 9093907 and 2, that added together give a palindrome (9093909).

The spelling of 90939072 in words is "ninety million, nine hundred thirty-nine thousand, seventy-two".