55438272 has 84 divisors (see below), whose sum is σ = 160543240. Its totient is φ = 18289152.

The previous prime is 55438217. The next prime is 55438277. The reversal of 55438272 is 27283455.

55438272 is a `hidden beast` number, since 554 + 38 + 2 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55438277) 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, 62343 + ... + 63225.

Almost surely, 2^55438272 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 55438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80271620).

55438272 is an abundant number, since it is smaller than the sum of its proper divisors (105104968).

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

55438272 is a wasteful number, since it uses less digits than its factorization.

55438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

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

The square root of 55438272 is about 7445.6881481835. The cubic root of 55438272 is about 381.3027126971.

The spelling of 55438272 in words is "fifty-five million, four hundred thirty-eight thousand, two hundred seventy-two".