72971301 has 32 divisors (see below), whose sum is σ = 109372032. Its totient is φ = 42981120.

The previous prime is 72971299. The next prime is 72971321. The reversal of 72971301 is 10317927.

It is not a de Polignac number, because 72971301 - 2¹ = 72971299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72971321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88471 + ... + 89291.

It is an arithmetic number, because the mean of its divisors is an integer number (3417876).

Almost surely, 2^72971301 is an apocalyptic number.

It is an amenable number.

72971301 is a deficient number, since it is larger than the sum of its proper divisors (36400731).

72971301 is a wasteful number, since it uses less digits than its factorization.

72971301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 72971301 is about 8542.3240982768. The cubic root of 72971301 is about 417.8791440322.

The spelling of 72971301 in words is "seventy-two million, nine hundred seventy-one thousand, three hundred one".