55017072 has 120 divisors (see below), whose sum is σ = 171774720. Its totient is φ = 16295040.

The previous prime is 55017071. The next prime is 55017073. The reversal of 55017072 is 27071055.

It is an interprime number because it is at equal distance from previous prime (55017071) and next prime (55017073).

It is a super-2 number, since 2×55017072² = 6053756422906368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55017071) 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, 74079 + ... + 74817.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 2^55017072 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 55017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85887360).

55017072 is an abundant number, since it is smaller than the sum of its proper divisors (116757648).

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

55017072 is a wasteful number, since it uses less digits than its factorization.

55017072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 55017072 is about 7417.3493917976. The cubic root of 55017072 is about 380.3345898871.

The spelling of 55017072 in words is "fifty-five million, seventeen thousand, seventy-two".