72868095 has 48 divisors (see below), whose sum is σ = 130470912. Its totient is φ = 37602240.

The previous prime is 72868093. The next prime is 72868121. The reversal of 72868095 is 59086827.

It is not a de Polignac number, because 72868095 - 2¹ = 72868093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72868095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72868091) 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 47 ways as a sum of consecutive naturals, for example, 276934 + ... + 277196.

It is an arithmetic number, because the mean of its divisors is an integer number (2718144).

Almost surely, 2^72868095 is an apocalyptic number.

72868095 is a deficient number, since it is larger than the sum of its proper divisors (57602817).

72868095 is a wasteful number, since it uses less digits than its factorization.

72868095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72868095 is about 8536.2810989330. The cubic root of 72868095 is about 417.6820437901.

The spelling of 72868095 in words is "seventy-two million, eight hundred sixty-eight thousand, ninety-five".