77145072 has 40 divisors (see below), whose sum is σ = 199630080. Its totient is φ = 25671360.

The previous prime is 77145049. The next prime is 77145083. The reversal of 77145072 is 27054177.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40297 + ... + 42167.

It is an arithmetic number, because the mean of its divisors is an integer number (4990752).

Almost surely, 2^77145072 is an apocalyptic number.

It is an amenable number.

77145072 is an abundant number, since it is smaller than the sum of its proper divisors (122485008).

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

77145072 is a wasteful number, since it uses less digits than its factorization.

77145072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 77145072 is about 8783.2267419212. The cubic root of 77145072 is about 425.6990976112.

The spelling of 77145072 in words is "seventy-seven million, one hundred forty-five thousand, seventy-two".