72688291650 has 384 divisors, whose sum is σ = 220485888000. Its totient is φ = 17500872960.

The previous prime is 72688291609. The next prime is 72688291667. The reversal of 72688291650 is 5619288627.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 202474171 + ... + 202474529.

It is an arithmetic number, because the mean of its divisors is an integer number (574182000).

Almost surely, 2^72688291650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72688291650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944000).

72688291650 is an abundant number, since it is smaller than the sum of its proper divisors (147797596350).

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

72688291650 is a wasteful number, since it uses less digits than its factorization.

72688291650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 72688291650 in words is "seventy-two billion, six hundred eighty-eight million, two hundred ninety-one thousand, six hundred fifty".