72248517000 has 768 divisors, whose sum is σ = 279649843200. Its totient is φ = 17301600000.

The previous prime is 72248516969. The next prime is 72248517031. The reversal of 72248517000 is 71584227.

72248517000 is a `hidden beast` number, since 7 + 2 + 2 + 485 + 170 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72248516969) and next prime (72248517031).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403622911 + ... + 403623089.

It is an arithmetic number, because the mean of its divisors is an integer number (364127400).

Almost surely, 2^72248517000 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 72248517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139824921600).

72248517000 is an abundant number, since it is smaller than the sum of its proper divisors (207401326200).

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

72248517000 is a wasteful number, since it uses less digits than its factorization.

72248517000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 72248517000 in words is "seventy-two billion, two hundred forty-eight million, five hundred seventeen thousand".