77031072 has 36 divisors (see below), whose sum is σ = 219057930. Its totient is φ = 25676928.

The previous prime is 77031067. The next prime is 77031079. The reversal of 77031072 is 27013077.

It can be written as a sum of positive squares in only one way, i.e., 73205136 + 3825936 = 8556^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (77031079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133447 + ... + 134022.

Almost surely, 2^77031072 is an apocalyptic number.

77031072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77031072 is an abundant number, since it is smaller than the sum of its proper divisors (142026858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77031072 is a wasteful number, since it uses less digits than its factorization.

77031072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267485 (or 267474 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77031072 is about 8776.7347003313. The cubic root of 77031072 is about 425.4893040357.

The spelling of 77031072 in words is "seventy-seven million, thirty-one thousand, seventy-two".