72763360 has 48 divisors (see below), whose sum is σ = 172876032. Its totient is φ = 28940800.

The previous prime is 72763357. The next prime is 72763367. The reversal of 72763360 is 6336727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72763367) 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, 29370 + ... + 31750.

It is an arithmetic number, because the mean of its divisors is an integer number (3601584).

Almost surely, 2^72763360 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 72763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86438016).

72763360 is an abundant number, since it is smaller than the sum of its proper divisors (100112672).

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

72763360 is a wasteful number, since it uses less digits than its factorization.

72763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 72763360 is about 8530.1441957332. The cubic root of 72763360 is about 417.4818331464.

The spelling of 72763360 in words is "seventy-two million, seven hundred sixty-three thousand, three hundred sixty".