55746720 has 72 divisors (see below), whose sum is σ = 190240596. Its totient is φ = 14865408.

The previous prime is 55746709. The next prime is 55746727. The reversal of 55746720 is 2764755.

55746720 is a `hidden beast` number, since 5 + 574 + 67 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55175184 + 571536 = 7428^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (55746727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17917 + ... + 20796.

Almost surely, 2^55746720 is an apocalyptic number.

It is an amenable number.

55746720 is an abundant number, since it is smaller than the sum of its proper divisors (134493876).

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

55746720 is a wasteful number, since it uses less digits than its factorization.

55746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38734 (or 38723 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 55746720 is about 7466.3726132574. The cubic root of 55746720 is about 382.0085704792.

The spelling of 55746720 in words is "fifty-five million, seven hundred forty-six thousand, seven hundred twenty".