52762320 has 160 divisors (see below), whose sum is σ = 195820800. Its totient is φ = 12980736.

The previous prime is 52762319. The next prime is 52762321. The reversal of 52762320 is 2326725.

It is an interprime number because it is at equal distance from previous prime (52762319) and next prime (52762321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52762321) by changing a digit.

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, 27141 + ... + 29019.

It is an arithmetic number, because the mean of its divisors is an integer number (1223880).

Almost surely, 2^52762320 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 52762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97910400).

52762320 is an abundant number, since it is smaller than the sum of its proper divisors (143058480).

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

52762320 is a wasteful number, since it uses less digits than its factorization.

52762320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 52762320 is about 7263.7676174283. The cubic root of 52762320 is about 375.0662283028.

The spelling of 52762320 in words is "fifty-two million, seven hundred sixty-two thousand, three hundred twenty".