36852720 has 80 divisors (see below), whose sum is σ = 116932992. Its totient is φ = 9596160.

The previous prime is 36852709. The next prime is 36852721. The reversal of 36852720 is 2725863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36852721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8535 + ... + 12105.

Almost surely, 2^36852720 is an apocalyptic number.

36852720 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 36852720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58466496).

36852720 is an abundant number, since it is smaller than the sum of its proper divisors (80080272).

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

36852720 is a wasteful number, since it uses less digits than its factorization.

36852720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 36852720 is about 6070.6441173899. The cubic root of 36852720 is about 332.7794624130.

The spelling of 36852720 in words is "thirty-six million, eight hundred fifty-two thousand, seven hundred twenty".