36792252 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 10247040.

The previous prime is 36792251. The next prime is 36792253. The reversal of 36792252 is 25229763.

It is an interprime number because it is at equal distance from previous prime (36792251) and next prime (36792253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36792251) 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, 30403 + ... + 31589.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^36792252 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 36792252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

36792252 is an abundant number, since it is smaller than the sum of its proper divisors (74974788).

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

36792252 is a wasteful number, since it uses less digits than its factorization.

36792252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 36792252 is about 6065.6617116354. The cubic root of 36792252 is about 332.5973544233.

The spelling of 36792252 in words is "thirty-six million, seven hundred ninety-two thousand, two hundred fifty-two".