72963260 has 48 divisors (see below), whose sum is σ = 161093856. Its totient is φ = 27724032.

The previous prime is 72963239. The next prime is 72963263. The reversal of 72963260 is 6236927.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72963260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72963263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30674 + ... + 32966.

It is an arithmetic number, because the mean of its divisors is an integer number (3356122).

Almost surely, 2^72963260 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 72963260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80546928).

72963260 is an abundant number, since it is smaller than the sum of its proper divisors (88130596).

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

72963260 is a wasteful number, since it uses less digits than its factorization.

72963260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 72963260 is about 8541.8534288525. The cubic root of 72963260 is about 417.8637942093.

The spelling of 72963260 in words is "seventy-two million, nine hundred sixty-three thousand, two hundred sixty".