72305375247 has 48 divisors (see below), whose sum is σ = 127975770720. Its totient is φ = 40200644736.

The previous prime is 72305375231. The next prime is 72305375269. The reversal of 72305375247 is 74257350327.

It is a happy number.

72305375247 is a `hidden beast` number, since 7 + 2 + 30 + 5 + 375 + 247 = 666.

It is not a de Polignac number, because 72305375247 - 2⁴ = 72305375231 is a prime.

It is a super-2 number, since 2×72305375247² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72305375047) 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 47 ways as a sum of consecutive naturals, for example, 689598 + ... + 787499.

It is an arithmetic number, because the mean of its divisors is an integer number (2666161890).

Almost surely, 2^72305375247 is an apocalyptic number.

72305375247 is a deficient number, since it is larger than the sum of its proper divisors (55670395473).

72305375247 is a wasteful number, since it uses less digits than its factorization.

72305375247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477157 (or 1477144 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The spelling of 72305375247 in words is "seventy-two billion, three hundred five million, three hundred seventy-five thousand, two hundred forty-seven".