90192720 has 160 divisors (see below), whose sum is σ = 291409920. Its totient is φ = 23063040.

The previous prime is 90192703. The next prime is 90192721. The reversal of 90192720 is 2729109.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90192721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1141641 + ... + 1141719.

It is an arithmetic number, because the mean of its divisors is an integer number (1821312).

Almost surely, 2^90192720 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 90192720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

90192720 is an abundant number, since it is smaller than the sum of its proper divisors (201217200).

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

90192720 is a wasteful number, since it uses less digits than its factorization.

90192720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 90192720 is about 9496.9847846567. The cubic root of 90192720 is about 448.4601193210.

The spelling of 90192720 in words is "ninety million, one hundred ninety-two thousand, seven hundred twenty".