73689280 has 112 divisors (see below), whose sum is σ = 203947776. Its totient is φ = 24837120.

The previous prime is 73689269. The next prime is 73689283. The reversal of 73689280 is 8298637.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (73689283) 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, 149835 + ... + 150325.

Almost surely, 2^73689280 is an apocalyptic number.

73689280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101973888).

73689280 is an abundant number, since it is smaller than the sum of its proper divisors (130258496).

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

73689280 is a wasteful number, since it uses less digits than its factorization.

73689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 73689280 is about 8584.2460356166. The cubic root of 73689280 is about 419.2452051944.

The spelling of 73689280 in words is "seventy-three million, six hundred eighty-nine thousand, two hundred eighty".