72709056 has 112 divisors (see below), whose sum is σ = 244327680. Its totient is φ = 20770560.

The previous prime is 72709037. The next prime is 72709069. The reversal of 72709056 is 65090727.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×72709056² = 10573213648822272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 72709056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9091 + ... + 15101.

Almost surely, 2^72709056 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 72709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122163840).

72709056 is an abundant number, since it is smaller than the sum of its proper divisors (171618624).

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

72709056 is a wasteful number, since it uses less digits than its factorization.

72709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72709056 is about 8526.9605370261. The cubic root of 72709056 is about 417.3779503880.

The spelling of 72709056 in words is "seventy-two million, seven hundred nine thousand, fifty-six".