72071856 has 140 divisors (see below), whose sum is σ = 216309072. Its totient is φ = 23234688.

The previous prime is 72071849. The next prime is 72071897. The reversal of 72071856 is 65817027.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72071856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431485 + ... + 431651.

Almost surely, 2^72071856 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 72071856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108154536).

72071856 is an abundant number, since it is smaller than the sum of its proper divisors (144237216).

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

72071856 is a wasteful number, since it uses less digits than its factorization.

72071856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72071856 is about 8489.5144737494. The cubic root of 72071856 is about 416.1551135069.

It can be divided in two parts, 72071 and 856, that added together give a palindrome (72927).

The spelling of 72071856 in words is "seventy-two million, seventy-one thousand, eight hundred fifty-six".