90192672 has 72 divisors (see below), whose sum is σ = 262486224. Its totient is φ = 29361024.

The previous prime is 90192659. The next prime is 90192673. The reversal of 90192672 is 27629109.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90192673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8743 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (3645642).

Almost surely, 2^90192672 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 90192672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131243112).

90192672 is an abundant number, since it is smaller than the sum of its proper divisors (172293552).

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

90192672 is a wasteful number, since it uses less digits than its factorization.

90192672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90192672 is about 9496.9822575384. The cubic root of 90192672 is about 448.4600397651.

The spelling of 90192672 in words is "ninety million, one hundred ninety-two thousand, six hundred seventy-two".