72517000959 has 144 divisors (see below), whose sum is σ = 122308193280. Its totient is φ = 41140794240.

The previous prime is 72517000957. The next prime is 72517000961. The reversal of 72517000959 is 95900071527.

It is an interprime number because it is at equal distance from previous prime (72517000957) and next prime (72517000961).

It is not a de Polignac number, because 72517000959 - 2¹ = 72517000957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72517000957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343682364 + ... + 343682574.

Almost surely, 2^72517000959 is an apocalyptic number.

72517000959 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

72517000959 is a deficient number, since it is larger than the sum of its proper divisors (49791192321).

72517000959 is a wasteful number, since it uses less digits than its factorization.

72517000959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 72517000959 in words is "seventy-two billion, five hundred seventeen million, nine hundred fifty-nine", and thus it is an aban number.