54875772 has 96 divisors (see below), whose sum is σ = 168268800. Its totient is φ = 15132096.

The previous prime is 54875771. The next prime is 54875803. The reversal of 54875772 is 27757845.

It is a super-2 number, since 2×54875772² = 6022700705191968, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54875771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20673 + ... + 23175.

It is an arithmetic number, because the mean of its divisors is an integer number (1752800).

Almost surely, 2^54875772 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 54875772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84134400).

54875772 is an abundant number, since it is smaller than the sum of its proper divisors (113393028).

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

54875772 is a wasteful number, since it uses less digits than its factorization.

54875772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2544 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 54875772 is about 7407.8183023074. The cubic root of 54875772 is about 380.0087070950.

It can be divided in two parts, 54 and 875772, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 54875772 in words is "fifty-four million, eight hundred seventy-five thousand, seven hundred seventy-two".