36572120 has 64 divisors (see below), whose sum is σ = 90357120. Its totient is φ = 13238784.

The previous prime is 36572119. The next prime is 36572143. The reversal of 36572120 is 2127563.

It is a super-2 number, since 2×36572120² = 2675039922588800, which contains 22 as substring.

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36572120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26897 + ... + 28223.

It is an arithmetic number, because the mean of its divisors is an integer number (1411830).

Almost surely, 2^36572120 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 36572120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45178560).

36572120 is an abundant number, since it is smaller than the sum of its proper divisors (53785000).

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

36572120 is a wasteful number, since it uses less digits than its factorization.

36572120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 36572120 is about 6047.4887350040. The cubic root of 36572120 is about 331.9327051877.

Adding to 36572120 its reverse (2127563), we get a palindrome (38699683).

The spelling of 36572120 in words is "thirty-six million, five hundred seventy-two thousand, one hundred twenty".