52163072 has 80 divisors (see below), whose sum is σ = 119101752. Its totient is φ = 22609920.

The previous prime is 52163063. The next prime is 52163087. The reversal of 52163072 is 27036125.

It can be written as a sum of positive squares in 4 ways, for example, as 38738176 + 13424896 = 6224^2 + 3664^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

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 7 ways as a sum of consecutive naturals, for example, 112922 + ... + 113382.

Almost surely, 2^52163072 is an apocalyptic number.

52163072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59550876).

52163072 is an abundant number, since it is smaller than the sum of its proper divisors (66938680).

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

52163072 is a wasteful number, since it uses less digits than its factorization.

52163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 52163072 is about 7222.4007089056. The cubic root of 52163072 is about 373.6408803641.

Adding to 52163072 its reverse (27036125), we get a palindrome (79199197).

It can be divided in two parts, 52 and 163072, that multiplied together give a square (8479744 = 2912²).

The spelling of 52163072 in words is "fifty-two million, one hundred sixty-three thousand, seventy-two".