73269680 has 80 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 26407680.

The previous prime is 73269673. The next prime is 73269683. The reversal of 73269680 is 8696237.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (73269683) 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, 122021 + ... + 122619.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^73269680 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 73269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

73269680 is an abundant number, since it is smaller than the sum of its proper divisors (114218320).

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

73269680 is a wasteful number, since it uses less digits than its factorization.

73269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 73269680 is about 8559.7710249749. The cubic root of 73269680 is about 418.4479375043.

The spelling of 73269680 in words is "seventy-three million, two hundred sixty-nine thousand, six hundred eighty".