72076917 has 48 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 40888320.

The previous prime is 72076883. The next prime is 72076931. The reversal of 72076917 is 71967027.

It is not a de Polignac number, because 72076917 - 2⁶ = 72076853 is a prime.

It is a super-3 number, since 3×72076917³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72076117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743013 + ... + 743109.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^72076917 is an apocalyptic number.

It is an amenable number.

72076917 is a deficient number, since it is larger than the sum of its proper divisors (40536843).

72076917 is a wasteful number, since it uses less digits than its factorization.

72076917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 72076917 is about 8489.8125421001. The cubic root of 72076917 is about 416.1648543028.

The spelling of 72076917 in words is "seventy-two million, seventy-six thousand, nine hundred seventeen".