72047556 has 72 divisors (see below), whose sum is σ = 215866560. Its totient is φ = 20583072.

The previous prime is 72047551. The next prime is 72047587. The reversal of 72047556 is 65574027.

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 72047556.

It is not an unprimeable number, because it can be changed into a prime (72047551) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1510 + ... + 12098.

Almost surely, 2^72047556 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 72047556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107933280).

72047556 is an abundant number, since it is smaller than the sum of its proper divisors (143819004).

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

72047556 is a wasteful number, since it uses less digits than its factorization.

72047556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72047556 is about 8488.0831758413. The cubic root of 72047556 is about 416.1083374764.

The spelling of 72047556 in words is "seventy-two million, forty-seven thousand, five hundred fifty-six".