72852132 has 24 divisors (see below), whose sum is σ = 177379776. Its totient is φ = 23228128.

The previous prime is 72852119. The next prime is 72852133. The reversal of 72852132 is 23125827.

It is a self number, because there is not a number n which added to its sum of digits gives 72852132.

It is not an unprimeable number, because it can be changed into a prime (72852133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131703 + ... + 132254.

It is an arithmetic number, because the mean of its divisors is an integer number (7390824).

Almost surely, 2^72852132 is an apocalyptic number.

It is an amenable number.

72852132 is an abundant number, since it is smaller than the sum of its proper divisors (104527644).

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

72852132 is a wasteful number, since it uses less digits than its factorization.

72852132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263987 (or 263985 counting only the distinct ones).

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

The square root of 72852132 is about 8535.3460386794. The cubic root of 72852132 is about 417.6515414356.

Adding to 72852132 its reverse (23125827), we get a palindrome (95977959).

The spelling of 72852132 in words is "seventy-two million, eight hundred fifty-two thousand, one hundred thirty-two".