72923680899072 has 512 divisors, whose sum is σ = 224376950448000. Its totient is φ = 23389305569280.

The previous prime is 72923680899023. The next prime is 72923680899073. The reversal of 72923680899072 is 27099808632927.

72923680899072 is a `hidden beast` number, since 7 + 292 + 36 + 80 + 89 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×72923680899072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (72923680899073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2648001079 + ... + 2648028617.

Almost surely, 2^{72923680899072} is an apocalyptic number.

72923680899072 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 72923680899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112188475224000).

72923680899072 is an abundant number, since it is smaller than the sum of its proper divisors (151453269548928).

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

72923680899072 is an equidigital number, since it uses as much as digits as its factorization.

72923680899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27692 (or 27658 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 72923680899072 in words is "seventy-two trillion, nine hundred twenty-three billion, six hundred eighty million, eight hundred ninety-nine thousand, seventy-two".