72050517 has 24 divisors (see below), whose sum is σ = 129754560. Its totient is φ = 37428480.

The previous prime is 72050509. The next prime is 72050551. The reversal of 72050517 is 71505027.

It is not a de Polignac number, because 72050517 - 2³ = 72050509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72050617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51292 + ... + 52677.

It is an arithmetic number, because the mean of its divisors is an integer number (5406440).

Almost surely, 2^72050517 is an apocalyptic number.

72050517 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72050517 is a deficient number, since it is larger than the sum of its proper divisors (57704043).

72050517 is a wasteful number, since it uses less digits than its factorization.

72050517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103993 (or 103990 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 72050517 is about 8488.2575950545. The cubic root of 72050517 is about 416.1140377850.

Subtracting from 72050517 its reverse (71505027), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 72050517 in words is "seventy-two million, fifty thousand, five hundred seventeen".