36765792 has 96 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 10502784.

The previous prime is 36765767. The next prime is 36765803. The reversal of 36765792 is 29756763.

36765792 is a `hidden beast` number, since 3 + 6 + 76 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36765792² = 2703446922774528, which contains 22 as substring.

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, 3009 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^36765792 is an apocalyptic number.

36765792 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 36765792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

36765792 is an abundant number, since it is smaller than the sum of its proper divisors (85807008).

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

36765792 is a wasteful number, since it uses less digits than its factorization.

36765792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6091 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 36765792 is about 6063.4801888025. The cubic root of 36765792 is about 332.5176036057.

The spelling of 36765792 in words is "thirty-six million, seven hundred sixty-five thousand, seven hundred ninety-two".