55992672 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 17462016.

The previous prime is 55992667. The next prime is 55992691. The reversal of 55992672 is 27629955.

55992672 is a `hidden beast` number, since 559 + 9 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (340200) is a multiple of the sum of its prime factors (225).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523243 + ... + 523349.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^55992672 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 55992672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

55992672 is an abundant number, since it is smaller than the sum of its proper divisors (113835168).

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

55992672 is a wasteful number, since it uses less digits than its factorization.

55992672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 55992672 is about 7482.8251349340. The cubic root of 55992672 is about 382.5695477792.

The spelling of 55992672 in words is "fifty-five million, nine hundred ninety-two thousand, six hundred seventy-two".