72821647248 has 160 divisors (see below), whose sum is σ = 224628289536. Its totient is φ = 19876437504.

The previous prime is 72821647201. The next prime is 72821647259. The reversal of 72821647248 is 84274612827.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72821647248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6586461 + ... + 6597507.

Almost surely, 2^72821647248 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 72821647248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112314144768).

72821647248 is an abundant number, since it is smaller than the sum of its proper divisors (151806642288).

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

72821647248 is a wasteful number, since it uses less digits than its factorization.

72821647248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11941 (or 11935 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 51.

The spelling of 72821647248 in words is "seventy-two billion, eight hundred twenty-one million, six hundred forty-seven thousand, two hundred forty-eight".