72694647745512 has 1024 divisors, whose sum is σ = 223140660019200. Its totient is φ = 19632400220160.

The previous prime is 72694647745493. The next prime is 72694647745513. The reversal of 72694647745512 is 21554774649627.

It is a super-2 number, since 2×72694647745512² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72694647745513) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99174143898 + ... + 99174144630.

It is an arithmetic number, because the mean of its divisors is an integer number (217910800800).

Almost surely, 2^{72694647745512} 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 72694647745512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111570330009600).

72694647745512 is an abundant number, since it is smaller than the sum of its proper divisors (150446012273688).

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

72694647745512 is a wasteful number, since it uses less digits than its factorization.

72694647745512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 925 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 69.

The spelling of 72694647745512 in words is "seventy-two trillion, six hundred ninety-four billion, six hundred forty-seven million, seven hundred forty-five thousand, five hundred twelve".