54079872 has 256 divisors, whose sum is σ = 188006400. Its totient is φ = 13363200.

The previous prime is 54079847. The next prime is 54079937. The reversal of 54079872 is 27897045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916579 + ... + 916637.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^54079872 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 54079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94003200).

54079872 is an abundant number, since it is smaller than the sum of its proper divisors (133926528).

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

54079872 is a wasteful number, since it uses less digits than its factorization.

54079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 54079872 is about 7353.9018214823. The cubic root of 54079872 is about 378.1625794857.

The spelling of 54079872 in words is "fifty-four million, seventy-nine thousand, eight hundred seventy-two".