72055872 has 336 divisors, whose sum is σ = 264078720. Its totient is φ = 19160064.

The previous prime is 72055787. The next prime is 72055889. The reversal of 72055872 is 27855027.

72055872 is a `hidden beast` number, since 72 + 0 + 5 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1947438 + ... + 1947474.

Almost surely, 2^72055872 is an apocalyptic number.

72055872 is a gapful number since it is divisible by the number (72) 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 72055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132039360).

72055872 is an abundant number, since it is smaller than the sum of its proper divisors (192022848).

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

72055872 is a wasteful number, since it uses less digits than its factorization.

72055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72055872 is about 8488.5730249554. The cubic root of 72055872 is about 416.1243464571.

It can be divided in two parts, 72055 and 872, that added together give a palindrome (72927).

The spelling of 72055872 in words is "seventy-two million, fifty-five thousand, eight hundred seventy-two".