54072792 has 64 divisors (see below), whose sum is σ = 152784000. Its totient is φ = 17714592.

The previous prime is 54072787. The next prime is 54072827. The reversal of 54072792 is 29727045.

54072792 is a `hidden beast` number, since 540 + 7 + 27 + 92 = 666.

54072792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (2387250).

Almost surely, 2^54072792 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 54072792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76392000).

54072792 is an abundant number, since it is smaller than the sum of its proper divisors (98711208).

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

54072792 is a wasteful number, since it uses less digits than its factorization.

54072792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 54072792 is about 7353.4204286169. The cubic root of 54072792 is about 378.1460760695.

The spelling of 54072792 in words is "fifty-four million, seventy-two thousand, seven hundred ninety-two".