54967872 has 56 divisors (see below), whose sum is σ = 147641056. Its totient is φ = 18044928.

The previous prime is 54967841. The next prime is 54967873. The reversal of 54967872 is 27876945.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54967873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10728 + ... + 15000.

Almost surely, 2^54967872 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 54967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73820528).

54967872 is an abundant number, since it is smaller than the sum of its proper divisors (92673184).

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

54967872 is a wasteful number, since it uses less digits than its factorization.

54967872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4345 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 54967872 is about 7414.0321013602. The cubic root of 54967872 is about 380.2211824065.

The spelling of 54967872 in words is "fifty-four million, nine hundred sixty-seven thousand, eight hundred seventy-two".