55331072 has 54 divisors (see below), whose sum is σ = 114830898. Its totient is φ = 26607616.

The previous prime is 55331071. The next prime is 55331093. The reversal of 55331072 is 27013355.

It can be written as a sum of positive squares in 3 ways, for example, as 25563136 + 29767936 = 5056^2 + 5456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55331071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215168 + ... + 215424.

Almost surely, 2^55331072 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 55331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57415449).

55331072 is an abundant number, since it is smaller than the sum of its proper divisors (59499826).

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

55331072 is an equidigital number, since it uses as much as digits as its factorization.

55331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 55331072 is about 7438.4858674330. The cubic root of 55331072 is about 381.0567813546.

The spelling of 55331072 in words is "fifty-five million, three hundred thirty-one thousand, seventy-two".