72547056 has 80 divisors (see below), whose sum is σ = 211727520. Its totient is φ = 23777280.

The previous prime is 72547051. The next prime is 72547061. The reversal of 72547056 is 65074527.

It is an interprime number because it is at equal distance from previous prime (72547051) and next prime (72547061).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72547056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24976 + ... + 27728.

It is an arithmetic number, because the mean of its divisors is an integer number (2646594).

Almost surely, 2^72547056 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 72547056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105863760).

72547056 is an abundant number, since it is smaller than the sum of its proper divisors (139180464).

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

72547056 is a wasteful number, since it uses less digits than its factorization.

72547056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2819 counting only the distinct ones).

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

The square root of 72547056 is about 8517.4559582072. The cubic root of 72547056 is about 417.0677391121.

The spelling of 72547056 in words is "seventy-two million, five hundred forty-seven thousand, fifty-six".