36893792 has 48 divisors (see below), whose sum is σ = 78935472. Its totient is φ = 16872960.

The previous prime is 36893767. The next prime is 36893819. The reversal of 36893792 is 29739863.

It is a super-2 number, since 2×36893792² = 2722303776278528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54158 + ... + 54834.

It is an arithmetic number, because the mean of its divisors is an integer number (1644489).

Almost surely, 2^36893792 is an apocalyptic number.

36893792 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 36893792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39467736).

36893792 is an abundant number, since it is smaller than the sum of its proper divisors (42041680).

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

36893792 is a wasteful number, since it uses less digits than its factorization.

36893792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its digits is 489888, while the sum is 47.

The square root of 36893792 is about 6074.0260124566. The cubic root of 36893792 is about 332.9030430119.

The spelling of 36893792 in words is "thirty-six million, eight hundred ninety-three thousand, seven hundred ninety-two".