55623672 has 192 divisors, whose sum is σ = 176117760. Its totient is φ = 16329600.

The previous prime is 55623661. The next prime is 55623707. The reversal of 55623672 is 27632655.

It is a happy number.

55623672 is a `hidden beast` number, since 556 + 2 + 36 + 72 = 666.

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783397 + ... + 783467.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^55623672 is an apocalyptic number.

55623672 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 55623672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

55623672 is an abundant number, since it is smaller than the sum of its proper divisors (120494088).

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

55623672 is a wasteful number, since it uses less digits than its factorization.

55623672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 55623672 is about 7458.1279152345. The cubic root of 55623672 is about 381.7272982204.

The spelling of 55623672 in words is "fifty-five million, six hundred twenty-three thousand, six hundred seventy-two".