72329480 has 64 divisors (see below), whose sum is σ = 175737600. Its totient is φ = 26709760.

The previous prime is 72329473. The next prime is 72329489. The reversal of 72329480 is 8492327.

It is a self number, because there is not a number n which added to its sum of digits gives 72329480.

It is not an unprimeable number, because it can be changed into a prime (72329489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25325 + ... + 28035.

It is an arithmetic number, because the mean of its divisors is an integer number (2745900).

Almost surely, 2^72329480 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 72329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87868800).

72329480 is an abundant number, since it is smaller than the sum of its proper divisors (103408120).

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

72329480 is a wasteful number, since it uses less digits than its factorization.

72329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 72329480 is about 8504.6740090376. The cubic root of 72329480 is about 416.6503787411.

It can be divided in two parts, 723 and 29480, that added together give a palindrome (30203).

The spelling of 72329480 in words is "seventy-two million, three hundred twenty-nine thousand, four hundred eighty".