72742497534512 has 160 divisors (see below), whose sum is σ = 153302937984000. Its totient is φ = 33238542458880.

The previous prime is 72742497534491. The next prime is 72742497534517. The reversal of 72742497534512 is 21543579424727.

It is a super-3 number, since 3×72742497534512³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72742497534517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12065430314 + ... + 12065436342.

It is an arithmetic number, because the mean of its divisors is an integer number (958143362400).

Almost surely, 2^{72742497534512} 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 72742497534512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76651468992000).

72742497534512 is an abundant number, since it is smaller than the sum of its proper divisors (80560440449488).

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

72742497534512 is a wasteful number, since it uses less digits than its factorization.

72742497534512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7633 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 62.

The spelling of 72742497534512 in words is "seventy-two trillion, seven hundred forty-two billion, four hundred ninety-seven million, five hundred thirty-four thousand, five hundred twelve".