36516720 has 80 divisors (see below), whose sum is σ = 114849792. Its totient is φ = 9596160.

The previous prime is 36516679. The next prime is 36516737. The reversal of 36516720 is 2761563.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15969 + ... + 18111.

Almost surely, 2^36516720 is an apocalyptic number.

36516720 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 36516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424896).

36516720 is an abundant number, since it is smaller than the sum of its proper divisors (78333072).

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

36516720 is a wasteful number, since it uses less digits than its factorization.

36516720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 36516720 is about 6042.9065854107. The cubic root of 36516720 is about 331.7650149268.

The spelling of 36516720 in words is "thirty-six million, five hundred sixteen thousand, seven hundred twenty".