36764192 has 36 divisors (see below), whose sum is σ = 73951290. Its totient is φ = 17991168.

The previous prime is 36764191. The next prime is 36764197. The reversal of 36764192 is 29146763.

It can be written as a sum of positive squares in 3 ways, for example, as 36529936 + 234256 = 6044^2 + 484^2 .

It is not an unprimeable number, because it can be changed into a prime (36764191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89684 + ... + 90092.

Almost surely, 2^36764192 is an apocalyptic number.

36764192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36764192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36975645).

36764192 is an abundant number, since it is smaller than the sum of its proper divisors (37187098).

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

36764192 is an equidigital number, since it uses as much as digits as its factorization.

36764192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 464 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 36764192 is about 6063.3482499358. The cubic root of 36764192 is about 332.5127799561.

The spelling of 36764192 in words is "thirty-six million, seven hundred sixty-four thousand, one hundred ninety-two".