54124872 has 64 divisors (see below), whose sum is σ = 146033280. Its totient is φ = 16653312.

The previous prime is 54124859. The next prime is 54124891. The reversal of 54124872 is 27842145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20373 + ... + 22875.

It is an arithmetic number, because the mean of its divisors is an integer number (2281770).

Almost surely, 2^54124872 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 54124872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73016640).

54124872 is an abundant number, since it is smaller than the sum of its proper divisors (91908408).

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

54124872 is a wasteful number, since it uses less digits than its factorization.

54124872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2578 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 54124872 is about 7356.9607855418. The cubic root of 54124872 is about 378.2674404231.

It can be divided in two parts, 541248 and 72, that added together give a triangular number (541320 = T₁₀₄₀).

The spelling of 54124872 in words is "fifty-four million, one hundred twenty-four thousand, eight hundred seventy-two".