72834869728 has 48 divisors (see below), whose sum is σ = 148388436000. Its totient is φ = 35149768192.

The previous prime is 72834869707. The next prime is 72834869749. The reversal of 72834869728 is 82796843827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72834869707) and next prime (72834869749).

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72834869728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3133413 + ... + 3156571.

It is an arithmetic number, because the mean of its divisors is an integer number (3091425750).

Almost surely, 2^72834869728 is an apocalyptic number.

It is an amenable number.

72834869728 is an abundant number, since it is smaller than the sum of its proper divisors (75553566272).

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

72834869728 is a wasteful number, since it uses less digits than its factorization.

72834869728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26587 (or 26579 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 64.

The spelling of 72834869728 in words is "seventy-two billion, eight hundred thirty-four million, eight hundred sixty-nine thousand, seven hundred twenty-eight".