54001872 has 120 divisors (see below), whose sum is σ = 157847040. Its totient is φ = 17222400.

The previous prime is 54001853. The next prime is 54001931. The reversal of 54001872 is 27810045.

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, 534622 + ... + 534722.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 2^54001872 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 54001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

54001872 is an abundant number, since it is smaller than the sum of its proper divisors (103845168).

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

54001872 is a wasteful number, since it uses less digits than its factorization.

54001872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 54001872 is about 7348.5966007123. The cubic root of 54001872 is about 377.9806826443.

The spelling of 54001872 in words is "fifty-four million, one thousand, eight hundred seventy-two".