36612720 has 120 divisors (see below), whose sum is σ = 124053072. Its totient is φ = 9676800.

The previous prime is 36612707. The next prime is 36612733. The reversal of 36612720 is 2721663.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36612707) and next prime (36612733).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151800 + ... + 152040.

Almost surely, 2^36612720 is an apocalyptic number.

36612720 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 36612720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62026536).

36612720 is an abundant number, since it is smaller than the sum of its proper divisors (87440352).

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

36612720 is a wasteful number, since it uses less digits than its factorization.

36612720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36612720 is about 6050.8445691490. The cubic root of 36612720 is about 332.0554898299.

The spelling of 36612720 in words is "thirty-six million, six hundred twelve thousand, seven hundred twenty".