72542766000 has 160 divisors (see below), whose sum is σ = 234106891200. Its totient is φ = 19325798400.

The previous prime is 72542765951. The next prime is 72542766001. The reversal of 72542766000 is 66724527.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72542766000.

It is not an unprimeable number, because it can be changed into a prime (72542766001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6768646 + ... + 6779354.

It is an arithmetic number, because the mean of its divisors is an integer number (1463168070).

Almost surely, 2^72542766000 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 72542766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117053445600).

72542766000 is an abundant number, since it is smaller than the sum of its proper divisors (161564125200).

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

72542766000 is a wasteful number, since it uses less digits than its factorization.

72542766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 72542766000 in words is "seventy-two billion, five hundred forty-two million, seven hundred sixty-six thousand".