72540412567300 has 36 divisors (see below), whose sum is σ = 161252029311156. Its totient is φ = 28308453683200.

The previous prime is 72540412567297. The next prime is 72540412567303. The reversal of 72540412567300 is 376521404527.

It is an interprime number because it is at equal distance from previous prime (72540412567297) and next prime (72540412567303).

It can be written as a sum of positive squares in 6 ways, for example, as 8333429485824 + 64206983081476 = 2886768^2 + 8012926^2 .

It is a super-2 number, since 2×72540412567300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72540412567303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8846387677 + ... + 8846395876.

It is an arithmetic number, because the mean of its divisors is an integer number (4479223036421).

Almost surely, 2^{72540412567300} is an apocalyptic number.

It is an amenable number.

72540412567300 is an abundant number, since it is smaller than the sum of its proper divisors (88711616743856).

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

72540412567300 is a wasteful number, since it uses less digits than its factorization.

72540412567300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17692783608 (or 17692783601 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 72540412567300 in words is "seventy-two trillion, five hundred forty billion, four hundred twelve million, five hundred sixty-seven thousand, three hundred".