55575072 has 144 divisors (see below), whose sum is σ = 187492032. Its totient is φ = 15863040.

The previous prime is 55575059. The next prime is 55575077. The reversal of 55575072 is 27057555.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (55575077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53922 + ... + 54942.

It is an arithmetic number, because the mean of its divisors is an integer number (1302028).

Almost surely, 2^55575072 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 55575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

55575072 is an abundant number, since it is smaller than the sum of its proper divisors (131916960).

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

55575072 is a wasteful number, since it uses less digits than its factorization.

55575072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 55575072 is about 7454.8690129338. The cubic root of 55575072 is about 381.6160904572.

The spelling of 55575072 in words is "fifty-five million, five hundred seventy-five thousand, seventy-two".