77005972 has 12 divisors (see below), whose sum is σ = 136150420. Its totient is φ = 38105856.

The previous prime is 77005969. The next prime is 77006003. The reversal of 77005972 is 27950077.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 38887696 = 6174^2 + 6236^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98847 + ... + 99622.

Almost surely, 2^77005972 is an apocalyptic number.

It is an amenable number.

77005972 is a deficient number, since it is larger than the sum of its proper divisors (59144448).

77005972 is a wasteful number, since it uses less digits than its factorization.

77005972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198570 (or 198568 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 37.

The square root of 77005972 is about 8775.3046670757. The cubic root of 77005972 is about 425.4430848437.

It can be divided in two parts, 77005 and 972, that added together give a palindrome (77977).

The spelling of 77005972 in words is "seventy-seven million, five thousand, nine hundred seventy-two".