55075072 has 108 divisors (see below), whose sum is σ = 127177680. Its totient is φ = 23721984.

The previous prime is 55075061. The next prime is 55075081. The reversal of 55075072 is 27057055.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821983 + ... + 822049.

Almost surely, 2^55075072 is an apocalyptic number.

55075072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63588840).

55075072 is an abundant number, since it is smaller than the sum of its proper divisors (72102608).

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

55075072 is a wasteful number, since it uses less digits than its factorization.

55075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 31.

The square root of 55075072 is about 7421.2581143631. The cubic root of 55075072 is about 380.4681948340.

The spelling of 55075072 in words is "fifty-five million, seventy-five thousand, seventy-two".