36724968 has 128 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 10348992.

The previous prime is 36724901. The next prime is 36724973. The reversal of 36724968 is 86942763.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161671 + ... + 161897.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 2^36724968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36724968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

36724968 is an abundant number, since it is smaller than the sum of its proper divisors (81470232).

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

36724968 is a wasteful number, since it uses less digits than its factorization.

36724968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36724968 is about 6060.1128702360. The cubic root of 36724968 is about 332.3944843928.

The spelling of 36724968 in words is "thirty-six million, seven hundred twenty-four thousand, nine hundred sixty-eight".