73268280 has 128 divisors (see below), whose sum is σ = 246240000. Its totient is φ = 19377792.

The previous prime is 73268267. The next prime is 73268291. The reversal of 73268280 is 8286237.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193131 + ... + 193509.

It is an arithmetic number, because the mean of its divisors is an integer number (1923750).

Almost surely, 2^73268280 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 73268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120000).

73268280 is an abundant number, since it is smaller than the sum of its proper divisors (172971720).

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

73268280 is a wasteful number, since it uses less digits than its factorization.

73268280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73268280 is about 8559.6892466958. The cubic root of 73268280 is about 418.4452723235.

The spelling of 73268280 in words is "seventy-three million, two hundred sixty-eight thousand, two hundred eighty".