72926658971712 has 504 divisors, whose sum is σ = 262295343588096. Its totient is φ = 19201659918336.

The previous prime is 72926658971693. The next prime is 72926658971869. The reversal of 72926658971712 is 21717985662927.

72926658971712 is a `hidden beast` number, since 7 + 2 + 9 + 26 + 6 + 589 + 7 + 1 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (72) 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 (72).

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, 222551863 + ... + 222879305.

It is an arithmetic number, because the mean of its divisors is an integer number (520427269024).

Almost surely, 2^{72926658971712} is an apocalyptic number.

72926658971712 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 72926658971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131147671794048).

72926658971712 is an abundant number, since it is smaller than the sum of its proper divisors (189368684616384).

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

72926658971712 is a wasteful number, since it uses less digits than its factorization.

72926658971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328095 (or 328075 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 72926658971712 in words is "seventy-two trillion, nine hundred twenty-six billion, six hundred fifty-eight million, nine hundred seventy-one thousand, seven hundred twelve".