90591728172 has 96 divisors (see below), whose sum is σ = 238353561600. Its totient is φ = 26531020800.

The previous prime is 90591728159. The next prime is 90591728177. The reversal of 90591728172 is 27182719509.

It is a super-3 number, since 3×90591728172³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (90591728177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132354 + ... + 3161142.

It is an arithmetic number, because the mean of its divisors is an integer number (2482849600).

Almost surely, 2^90591728172 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 90591728172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119176780800).

90591728172 is an abundant number, since it is smaller than the sum of its proper divisors (147761833428).

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

90591728172 is a wasteful number, since it uses less digits than its factorization.

90591728172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29607 (or 29605 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 90591728172 in words is "ninety billion, five hundred ninety-one million, seven hundred twenty-eight thousand, one hundred seventy-two".