72713193696 has 576 divisors, whose sum is σ = 265362531840. Its totient is φ = 19135733760.

The previous prime is 72713193671. The next prime is 72713193697. The reversal of 72713193696 is 69639131727.

It is a happy number.

72713193696 is a `hidden beast` number, since 7 + 271 + 3 + 1 + 9 + 369 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72713193697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27303661 + ... + 27306323.

It is an arithmetic number, because the mean of its divisors is an integer number (460698840).

Almost surely, 2^72713193696 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 72713193696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132681265920).

72713193696 is an abundant number, since it is smaller than the sum of its proper divisors (192649338144).

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

72713193696 is a wasteful number, since it uses less digits than its factorization.

72713193696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2709 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 72713193696 in words is "seventy-two billion, seven hundred thirteen million, one hundred ninety-three thousand, six hundred ninety-six".