72381480 has 64 divisors (see below), whose sum is σ = 218082240. Its totient is φ = 19218432.

The previous prime is 72381479. The next prime is 72381481. The reversal of 72381480 is 8418327.

It is an interprime number because it is at equal distance from previous prime (72381479) and next prime (72381481).

It is not an unprimeable number, because it can be changed into a prime (72381481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29667 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (3407535).

Almost surely, 2^72381480 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 72381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109041120).

72381480 is an abundant number, since it is smaller than the sum of its proper divisors (145700760).

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

72381480 is a wasteful number, since it uses less digits than its factorization.

72381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 72381480 is about 8507.7306022229. The cubic root of 72381480 is about 416.7502026288.

The spelling of 72381480 in words is "seventy-two million, three hundred eighty-one thousand, four hundred eighty".