90172160 has 72 divisors (see below), whose sum is σ = 232648080. Its totient is φ = 33288192.

The previous prime is 90172153. The next prime is 90172163. The reversal of 90172160 is 6127109.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (90172163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13931 + ... + 19349.

Almost surely, 2^90172160 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 90172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116324040).

90172160 is an abundant number, since it is smaller than the sum of its proper divisors (142475920).

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

90172160 is a wasteful number, since it uses less digits than its factorization.

90172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 90172160 is about 9495.9022741391. The cubic root of 90172160 is about 448.4260402928.

Adding to 90172160 its reverse (6127109), we get a palindrome (96299269).

The spelling of 90172160 in words is "ninety million, one hundred seventy-two thousand, one hundred sixty".