55890072 has 96 divisors (see below), whose sum is σ = 174264480. Its totient is φ = 15851520.

The previous prime is 55890071. The next prime is 55890089. The reversal of 55890072 is 27009855.

55890072 is a `hidden beast` number, since 5 + 589 + 0 + 0 + 72 = 666.

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 (55890071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86872 + ... + 87512.

It is an arithmetic number, because the mean of its divisors is an integer number (1815255).

Almost surely, 2^55890072 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 55890072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87132240).

55890072 is an abundant number, since it is smaller than the sum of its proper divisors (118374408).

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

55890072 is a wasteful number, since it uses less digits than its factorization.

55890072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 55890072 is about 7475.9662920588. The cubic root of 55890072 is about 382.3357336430.

The spelling of 55890072 in words is "fifty-five million, eight hundred ninety thousand, seventy-two".