72879691966464 has 96 divisors (see below), whose sum is σ = 194329229945760. Its totient is φ = 24289375666176.

The previous prime is 72879691966423. The next prime is 72879691966489. The reversal of 72879691966464 is 46466919697827.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72879691966464² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37910514 + ... + 39786510.

It is an arithmetic number, because the mean of its divisors is an integer number (2024262811935).

Almost surely, 2^{72879691966464} 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 72879691966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97164614972880).

72879691966464 is an abundant number, since it is smaller than the sum of its proper divisors (121449537979296).

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

72879691966464 is a wasteful number, since it uses less digits than its factorization.

72879691966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882345 (or 1882325 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 84.

The spelling of 72879691966464 in words is "seventy-two trillion, eight hundred seventy-nine billion, six hundred ninety-one million, nine hundred sixty-six thousand, four hundred sixty-four".