36052992 has 112 divisors (see below), whose sum is σ = 107472480. Its totient is φ = 11943936.

The previous prime is 36052967. The next prime is 36053023. The reversal of 36052992 is 29925063.

36052992 is a `hidden beast` number, since 360 + 5 + 299 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221103 + ... + 221265.

Almost surely, 2^36052992 is an apocalyptic number.

36052992 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 36052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53736240).

36052992 is an abundant number, since it is smaller than the sum of its proper divisors (71419488).

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

36052992 is an equidigital number, since it uses as much as digits as its factorization.

36052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36052992 is about 6004.4143761070. The cubic root of 36052992 is about 330.3546600229.

The spelling of 36052992 in words is "thirty-six million, fifty-two thousand, nine hundred ninety-two".