55672128 has 84 divisors (see below), whose sum is σ = 168005760. Its totient is φ = 17577216.

The previous prime is 55672091. The next prime is 55672129. The reversal of 55672128 is 82127655.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 55672092 and 55672101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55672129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8401 + ... + 13487.

Almost surely, 2^55672128 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 55672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84002880).

55672128 is an abundant number, since it is smaller than the sum of its proper divisors (112333632).

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

55672128 is a wasteful number, since it uses less digits than its factorization.

55672128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5111 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 55672128 is about 7461.3757444589. The cubic root of 55672128 is about 381.8381120085.

The spelling of 55672128 in words is "fifty-five million, six hundred seventy-two thousand, one hundred twenty-eight".