72470728 has 64 divisors (see below), whose sum is σ = 158397120. Its totient is φ = 30720000.

The previous prime is 72470719. The next prime is 72470747. The reversal of 72470728 is 82707427.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 288603 + ... + 288853.

It is an arithmetic number, because the mean of its divisors is an integer number (2474955).

Almost surely, 2^72470728 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 72470728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79198560).

72470728 is an abundant number, since it is smaller than the sum of its proper divisors (85926392).

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

72470728 is a wasteful number, since it uses less digits than its factorization.

72470728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 72470728 is about 8512.9740983983. The cubic root of 72470728 is about 416.9214197481.

The spelling of 72470728 in words is "seventy-two million, four hundred seventy thousand, seven hundred twenty-eight".