36172164 has 96 divisors (see below), whose sum is σ = 103219200. Its totient is φ = 9636480.

The previous prime is 36172163. The next prime is 36172183. The reversal of 36172164 is 46127163.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36172163) 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, 75277 + ... + 75755.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 2^36172164 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 36172164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51609600).

36172164 is an abundant number, since it is smaller than the sum of its proper divisors (67047036).

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

36172164 is a wasteful number, since it uses less digits than its factorization.

36172164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 551 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 36172164 is about 6014.3298878595. The cubic root of 36172164 is about 330.7182519207.

The spelling of 36172164 in words is "thirty-six million, one hundred seventy-two thousand, one hundred sixty-four".