72961523712 has 1152 divisors, whose sum is σ = 293699558880. Its totient is φ = 17836277760.

The previous prime is 72961523707. The next prime is 72961523741. The reversal of 72961523712 is 21732516927.

It is a happy number.

72961523712 is a `hidden beast` number, since 7 + 2 + 9 + 615 + 23 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (317520) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4291854328 + ... + 4291854344.

Almost surely, 2^72961523712 is an apocalyptic number.

72961523712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72961523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146849779440).

72961523712 is an abundant number, since it is smaller than the sum of its proper divisors (220738035168).

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

72961523712 is an equidigital number, since it uses as much as digits as its factorization.

72961523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 72961523712 in words is "seventy-two billion, nine hundred sixty-one million, five hundred twenty-three thousand, seven hundred twelve".