72753132 has 48 divisors (see below), whose sum is σ = 182310912. Its totient is φ = 22498560.

The previous prime is 72753127. The next prime is 72753169. The reversal of 72753132 is 23135727.

It is a super-3 number, since 3×72753132³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72753132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11973 + ... + 16995.

It is an arithmetic number, because the mean of its divisors is an integer number (3798144).

Almost surely, 2^72753132 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 72753132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91155456).

72753132 is an abundant number, since it is smaller than the sum of its proper divisors (109557780).

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

72753132 is a wasteful number, since it uses less digits than its factorization.

72753132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5116 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 72753132 is about 8529.5446537315. The cubic root of 72753132 is about 417.4622710835.

Adding to 72753132 its reverse (23135727), we get a palindrome (95888859).

The spelling of 72753132 in words is "seventy-two million, seven hundred fifty-three thousand, one hundred thirty-two".