72971333 has 2 divisors, whose sum is σ = 72971334. Its totient is φ = 72971332.

The previous prime is 72971329. The next prime is 72971369. The reversal of 72971333 is 33317927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58094884 + 14876449 = 7622^2 + 3857^2 .

It is an emirp because it is prime and its reverse (33317927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72971333 - 2² = 72971329 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72971293 and 72971302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72971383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36485666 + 36485667.

It is an arithmetic number, because the mean of its divisors is an integer number (36485667).

Almost surely, 2^72971333 is an apocalyptic number.

It is an amenable number.

72971333 is a deficient number, since it is larger than the sum of its proper divisors (1).

72971333 is an equidigital number, since it uses as much as digits as its factorization.

72971333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23814, while the sum is 35.

The square root of 72971333 is about 8542.3259713031. The cubic root of 72971333 is about 417.8792051161.

The spelling of 72971333 in words is "seventy-two million, nine hundred seventy-one thousand, three hundred thirty-three".