77052 has 12 divisors (see below), whose sum is σ = 179816. Its totient is φ = 25680.

The previous prime is 77047. The next prime is 77069. The reversal of 77052 is 25077.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

77052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3199 + ... + 3222.

2⁷⁷⁰⁵² is an apocalyptic number.

It is an amenable number.

77052 is an abundant number, since it is smaller than the sum of its proper divisors (102764).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89908).

77052 is a wasteful number, since it uses less digits than its factorization.

77052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 77052 is about 277.5824201926. The cubic root of 77052 is about 42.5527833223.

The spelling of 77052 in words is "seventy-seven thousand, fifty-two".