54577072 has 120 divisors (see below), whose sum is σ = 130192560. Its totient is φ = 21934080.

The previous prime is 54577057. The next prime is 54577093. The reversal of 54577072 is 27077545.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475038 + ... + 1475074.

It is an arithmetic number, because the mean of its divisors is an integer number (1084938).

Almost surely, 2^54577072 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 54577072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65096280).

54577072 is an abundant number, since it is smaller than the sum of its proper divisors (75615488).

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

54577072 is a wasteful number, since it uses less digits than its factorization.

54577072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 54577072 is about 7387.6296604527. The cubic root of 54577072 is about 379.3179640350.

The spelling of 54577072 in words is "fifty-four million, five hundred seventy-seven thousand, seventy-two".