72877729 has 2 divisors, whose sum is σ = 72877730. Its totient is φ = 72877728.

The previous prime is 72877723. The next prime is 72877741. The reversal of 72877729 is 92777827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57456400 + 15421329 = 7580^2 + 3927^2 .

It is a cyclic number.

It is not a de Polignac number, because 72877729 - 2⁷ = 72877601 is a prime.

It is a super-2 number, since 2×72877729² = 10622326768394882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72877723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36438864 + 36438865.

It is an arithmetic number, because the mean of its divisors is an integer number (36438865).

Almost surely, 2^72877729 is an apocalyptic number.

It is an amenable number.

72877729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72877729 is an equidigital number, since it uses as much as digits as its factorization.

72877729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 691488, while the sum is 49.

The square root of 72877729 is about 8536.8453775385. The cubic root of 72877729 is about 417.7004504352.

The spelling of 72877729 in words is "seventy-two million, eight hundred seventy-seven thousand, seven hundred twenty-nine".