72980271 has 40 divisors (see below), whose sum is σ = 134191904. Its totient is φ = 38491200.

The previous prime is 72980251. The next prime is 72980291. The reversal of 72980271 is 17208927.

It is an interprime number because it is at equal distance from previous prime (72980251) and next prime (72980291).

It is not a de Polignac number, because 72980271 - 2⁶ = 72980207 is a prime.

It is a super-3 number, since 3×72980271³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72980221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2421 + ... + 12321.

Almost surely, 2^72980271 is an apocalyptic number.

72980271 is a deficient number, since it is larger than the sum of its proper divisors (61211633).

72980271 is a wasteful number, since it uses less digits than its factorization.

72980271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72980271 is about 8542.8491149031. The cubic root of 72980271 is about 417.8962659339.

The spelling of 72980271 in words is "seventy-two million, nine hundred eighty thousand, two hundred seventy-one".