72515170860993 has 48 divisors (see below), whose sum is σ = 121688829415296. Its totient is φ = 40757023157760.

The previous prime is 72515170860989. The next prime is 72515170861009. The reversal of 72515170860993 is 39906807151527.

72515170860993 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 5 + 17 + 0 + 8 + 609 + 9 + 3 = 666.

It is not a de Polignac number, because 72515170860993 - 2² = 72515170860989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 72515170860993.

It is not an unprimeable number, because it can be changed into a prime (72515170760993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37945830 + ... + 39811007.

It is an arithmetic number, because the mean of its divisors is an integer number (2535183946152).

Almost surely, 2^{72515170860993} is an apocalyptic number.

It is an amenable number.

72515170860993 is a deficient number, since it is larger than the sum of its proper divisors (49173658554303).

72515170860993 is a wasteful number, since it uses less digits than its factorization.

72515170860993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77757094 (or 77757091 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

Adding to 72515170860993 its sum of digits (63), we get a square (72515170861056 = 8515584²).

The spelling of 72515170860993 in words is "seventy-two trillion, five hundred fifteen billion, one hundred seventy million, eight hundred sixty thousand, nine hundred ninety-three".