36792000 has 336 divisors, whose sum is σ = 152473152. Its totient is φ = 8294400.

The previous prime is 36791983. The next prime is 36792001. The reversal of 36792000 is 29763.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36792001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503964 + ... + 504036.

Almost surely, 2^36792000 is an apocalyptic number.

36792000 is a gapful number since it is divisible by the number (30) 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 36792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76236576).

36792000 is an abundant number, since it is smaller than the sum of its proper divisors (115681152).

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

36792000 is a wasteful number, since it uses less digits than its factorization.

36792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 36792000 is about 6065.6409389281. The cubic root of 36792000 is about 332.5965950721.

The spelling of 36792000 in words is "thirty-six million, seven hundred ninety-two thousand".