72915693312 has 288 divisors, whose sum is σ = 242709465600. Its totient is φ = 18879528960.

The previous prime is 72915693251. The next prime is 72915693373. The reversal of 72915693312 is 21339651927.

It is an interprime number because it is at equal distance from previous prime (72915693251) and next prime (72915693373).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 20636698 + ... + 20640230.

It is an arithmetic number, because the mean of its divisors is an integer number (842741200).

Almost surely, 2^72915693312 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 72915693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121354732800).

72915693312 is an abundant number, since it is smaller than the sum of its proper divisors (169793772288).

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

72915693312 is a wasteful number, since it uses less digits than its factorization.

72915693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3905 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The spelling of 72915693312 in words is "seventy-two billion, nine hundred fifteen million, six hundred ninety-three thousand, three hundred twelve".