55724032 has 144 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 21086208.

The previous prime is 55724027. The next prime is 55724033. The reversal of 55724032 is 23042755.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (55724033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422773 + ... + 2422795.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^55724032 is an apocalyptic number.

55724032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55724032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

55724032 is an abundant number, since it is smaller than the sum of its proper divisors (88157888).

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

55724032 is a wasteful number, since it uses less digits than its factorization.

55724032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 55724032 is about 7464.8531130894. The cubic root of 55724032 is about 381.9567397079.

Adding to 55724032 its reverse (23042755), we get a palindrome (78766787).

It can be divided in two parts, 5572 and 4032, that added together give a square (9604 = 98²).

The spelling of 55724032 in words is "fifty-five million, seven hundred twenty-four thousand, thirty-two".