72712877 has 2 divisors, whose sum is σ = 72712878. Its totient is φ = 72712876.

The previous prime is 72712847. The next prime is 72712879. The reversal of 72712877 is 77821727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70879561 + 1833316 = 8419^2 + 1354^2 .

It is an emirp because it is prime and its reverse (77821727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72712877 - 2¹⁴ = 72696493 is a prime.

It is a super-3 number, since 3×72712877³ (a number of 25 digits) contains 333 as substring.

Together with 72712879, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72712879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356438 + 36356439.

It is an arithmetic number, because the mean of its divisors is an integer number (36356439).

Almost surely, 2^72712877 is an apocalyptic number.

It is an amenable number.

72712877 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712877 is an equidigital number, since it uses as much as digits as its factorization.

72712877 is an evil number, because the sum of its binary digits is even.

The product of its digits is 76832, while the sum is 41.

The square root of 72712877 is about 8527.1845881275. The cubic root of 72712877 is about 417.3852615965.

The spelling of 72712877 in words is "seventy-two million, seven hundred twelve thousand, eight hundred seventy-seven".