72835877 has 2 divisors, whose sum is σ = 72835878. Its totient is φ = 72835876.

The previous prime is 72835843. The next prime is 72835879. The reversal of 72835877 is 77853827.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57851236 + 14984641 = 7606^2 + 3871^2 .

It is a cyclic number.

It is not a de Polignac number, because 72835877 - 2²⁴ = 56058661 is a prime.

Together with 72835879, 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 (72835879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36417938 + 36417939.

It is an arithmetic number, because the mean of its divisors is an integer number (36417939).

Almost surely, 2^72835877 is an apocalyptic number.

It is an amenable number.

72835877 is a deficient number, since it is larger than the sum of its proper divisors (1).

72835877 is an equidigital number, since it uses as much as digits as its factorization.

72835877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 658560, while the sum is 47.

The square root of 72835877 is about 8534.3937687454. The cubic root of 72835877 is about 417.6204765439.

The spelling of 72835877 in words is "seventy-two million, eight hundred thirty-five thousand, eight hundred seventy-seven".