52777872 has 160 divisors (see below), whose sum is σ = 179036160. Its totient is φ = 14567040.

The previous prime is 52777861. The next prime is 52777891. The reversal of 52777872 is 27877725.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93463 + ... + 94025.

It is an arithmetic number, because the mean of its divisors is an integer number (1118976).

Almost surely, 2^52777872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52777872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89518080).

52777872 is an abundant number, since it is smaller than the sum of its proper divisors (126258288).

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

52777872 is a wasteful number, since it uses less digits than its factorization.

52777872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 52777872 is about 7264.8380573830. The cubic root of 52777872 is about 375.1030756652.

It can be divided in two parts, 52 and 777872, that added together give a square (777924 = 882²).

The spelling of 52777872 in words is "fifty-two million, seven hundred seventy-seven thousand, eight hundred seventy-two".