245760300072 has 96 divisors (see below), whose sum is σ = 794123452800. Its totient is φ = 70217225568.

The previous prime is 245760300043. The next prime is 245760300089. The reversal of 245760300072 is 270003067542.

It is a happy number.

245760300072 is a `hidden beast` number, since 2 + 45 + 7 + 603 + 0 + 0 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11599408 + ... + 11620575.

It is an arithmetic number, because the mean of its divisors is an integer number (8272119300).

Almost surely, 2^245760300072 is an apocalyptic number.

It is an amenable number.

245760300072 is an abundant number, since it is smaller than the sum of its proper divisors (548363152728).

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

245760300072 is a wasteful number, since it uses less digits than its factorization.

245760300072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23220012 (or 23219995 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 245760300072 in words is "two hundred forty-five billion, seven hundred sixty million, three hundred thousand, seventy-two".