72149977 has 2 divisors, whose sum is σ = 72149978. Its totient is φ = 72149976.

The previous prime is 72149971. The next prime is 72149981. The reversal of 72149977 is 77994127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 9803161 = 7896^2 + 3131^2 .

It is a cyclic number.

It is not a de Polignac number, because 72149977 - 2³ = 72149969 is a prime.

It is a super-2 number, since 2×72149977² = 10411238362201058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72149971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36074988 + 36074989.

It is an arithmetic number, because the mean of its divisors is an integer number (36074989).

Almost surely, 2^72149977 is an apocalyptic number.

It is an amenable number.

72149977 is a deficient number, since it is larger than the sum of its proper divisors (1).

72149977 is an equidigital number, since it uses as much as digits as its factorization.

72149977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 222264, while the sum is 46.

The square root of 72149977 is about 8494.1142563542. The cubic root of 72149977 is about 416.3054205112.

The spelling of 72149977 in words is "seventy-two million, one hundred forty-nine thousand, nine hundred seventy-seven".