72947248 has 40 divisors (see below), whose sum is σ = 155949840. Its totient is φ = 32778240.

The previous prime is 72947207. The next prime is 72947291. The reversal of 72947248 is 84274927.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13336 + ... + 17992.

It is an arithmetic number, because the mean of its divisors is an integer number (3898746).

Almost surely, 2^72947248 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 72947248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77974920).

72947248 is an abundant number, since it is smaller than the sum of its proper divisors (83002592).

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

72947248 is a wasteful number, since it uses less digits than its factorization.

72947248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4759 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 72947248 is about 8540.9161101137. The cubic root of 72947248 is about 417.8332248307.

The spelling of 72947248 in words is "seventy-two million, nine hundred forty-seven thousand, two hundred forty-eight".