72777673 has 2 divisors, whose sum is σ = 72777674. Its totient is φ = 72777672.

The previous prime is 72777659. The next prime is 72777721. The reversal of 72777673 is 37677727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 1408969 = 8448^2 + 1187^2 .

It is a cyclic number.

It is not a de Polignac number, because 72777673 - 2⁹ = 72777161 is a prime.

It is not a weakly prime, because it can be changed into another prime (72777613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36388836 + 36388837.

It is an arithmetic number, because the mean of its divisors is an integer number (36388837).

Almost surely, 2^72777673 is an apocalyptic number.

It is an amenable number.

72777673 is a deficient number, since it is larger than the sum of its proper divisors (1).

72777673 is an equidigital number, since it uses as much as digits as its factorization.

72777673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 605052, while the sum is 46.

The square root of 72777673 is about 8530.9831203678. The cubic root of 72777673 is about 417.5092050990.

It can be divided in two parts, 727 and 77673, that added together give a square (78400 = 280²).

The spelling of 72777673 in words is "seventy-two million, seven hundred seventy-seven thousand, six hundred seventy-three".