55792672 has 48 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 25143552.

The previous prime is 55792669. The next prime is 55792679. The reversal of 55792672 is 27629755.

It is a super-2 number, since 2×55792672² = 6225644497799168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (55792679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16329 + ... + 19447.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^55792672 is an apocalyptic number.

55792672 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 55792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

55792672 is an abundant number, since it is smaller than the sum of its proper divisors (65288288).

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

55792672 is a wasteful number, since it uses less digits than its factorization.

55792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3177 counting only the distinct ones).

The product of its digits is 264600, while the sum is 43.

The square root of 55792672 is about 7469.4492434182. The cubic root of 55792672 is about 382.1135048249.

The spelling of 55792672 in words is "fifty-five million, seven hundred ninety-two thousand, six hundred seventy-two".