90327072 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 26174720.

The previous prime is 90327037. The next prime is 90327073. The reversal of 90327072 is 27072309.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90327073) 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, 22429 + ... + 26147.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^90327072 is an apocalyptic number.

90327072 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

90327072 is an abundant number, since it is smaller than the sum of its proper divisors (179655648).

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

90327072 is a wasteful number, since it uses less digits than its factorization.

90327072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 90327072 is about 9504.0555553932. The cubic root of 90327072 is about 448.6826857750.

The spelling of 90327072 in words is "ninety million, three hundred twenty-seven thousand, seventy-two".