52468272 has 120 divisors (see below), whose sum is σ = 156815360. Its totient is φ = 16329600.

The previous prime is 52468271. The next prime is 52468277. The reversal of 52468272 is 27286425.

52468272 is a `hidden beast` number, since 524 + 68 + 2 + 72 = 666.

It is a super-3 number, since 3×52468272³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52468271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347397 + ... + 347547.

Almost surely, 2^52468272 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 52468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78407680).

52468272 is an abundant number, since it is smaller than the sum of its proper divisors (104347088).

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

52468272 is a wasteful number, since it uses less digits than its factorization.

52468272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 52468272 is about 7243.4986021949. The cubic root of 52468272 is about 374.3681733849.

The spelling of 52468272 in words is "fifty-two million, four hundred sixty-eight thousand, two hundred seventy-two".