55505772 has 72 divisors (see below), whose sum is σ = 164711456. Its totient is φ = 15427584.

The previous prime is 55505771. The next prime is 55505789. The reversal of 55505772 is 27750555.

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

It is not an unprimeable number, because it can be changed into a prime (55505771) 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, 6348 + ... + 12300.

Almost surely, 2^55505772 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 55505772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82355728).

55505772 is an abundant number, since it is smaller than the sum of its proper divisors (109205684).

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

55505772 is a wasteful number, since it uses less digits than its factorization.

55505772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6002 counting only the distinct ones).

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

The square root of 55505772 is about 7450.2195940791. The cubic root of 55505772 is about 381.4574042326.

The spelling of 55505772 in words is "fifty-five million, five hundred five thousand, seven hundred seventy-two".