54752832 has 84 divisors (see below), whose sum is σ = 165232080. Its totient is φ = 17286912.

The previous prime is 54752821. The next prime is 54752833. The reversal of 54752832 is 23825745.

It is a super-2 number, since 2×54752832² = 5995745224040448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54752833) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8443 + ... + 13445.

Almost surely, 2^54752832 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 54752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82616040).

54752832 is an abundant number, since it is smaller than the sum of its proper divisors (110479248).

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

54752832 is a wasteful number, since it uses less digits than its factorization.

54752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5027 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 54752832 is about 7399.5156598253. The cubic root of 54752832 is about 379.7247128999.

The spelling of 54752832 in words is "fifty-four million, seven hundred fifty-two thousand, eight hundred thirty-two".