72301280 has 48 divisors (see below), whose sum is σ = 171478944. Its totient is φ = 28807680.

The previous prime is 72301279. The next prime is 72301297. The reversal of 72301280 is 8210327.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49034 + ... + 50486.

It is an arithmetic number, because the mean of its divisors is an integer number (3572478).

Almost surely, 2^72301280 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 72301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85739472).

72301280 is an abundant number, since it is smaller than the sum of its proper divisors (99177664).

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

72301280 is a wasteful number, since it uses less digits than its factorization.

72301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72301280 is about 8503.0159355372. The cubic root of 72301280 is about 416.5962234691.

The spelling of 72301280 in words is "seventy-two million, three hundred one thousand, two hundred eighty".