54792672 has 144 divisors (see below), whose sum is σ = 162887760. Its totient is φ = 16107520.

The previous prime is 54792653. The next prime is 54792697. The reversal of 54792672 is 27629745.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 615604 + ... + 615692.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^54792672 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 54792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81443880).

54792672 is an abundant number, since it is smaller than the sum of its proper divisors (108095088).

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

54792672 is a wasteful number, since it uses less digits than its factorization.

54792672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 54792672 is about 7402.2072383850. The cubic root of 54792672 is about 379.8167907233.

The spelling of 54792672 in words is "fifty-four million, seven hundred ninety-two thousand, six hundred seventy-two".