52072680 has 128 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 12468480.

The previous prime is 52072637. The next prime is 52072681. The reversal of 52072680 is 8627025.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52072681) 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, 135769 + ... + 136151.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^52072680 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 52072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86261760).

52072680 is an abundant number, since it is smaller than the sum of its proper divisors (120450840).

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

52072680 is a wasteful number, since it uses less digits than its factorization.

52072680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 52072680 is about 7216.1402425396. The cubic root of 52072680 is about 373.4249314643.

It can be divided in two parts, 5207 and 2680, that added together give a palindrome (7887).

The spelling of 52072680 in words is "fifty-two million, seventy-two thousand, six hundred eighty".