73809672 has 64 divisors (see below), whose sum is σ = 194018880. Its totient is φ = 23369472.

The previous prime is 73809647. The next prime is 73809713. The reversal of 73809672 is 27690837.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37218 + ... + 39150.

It is an arithmetic number, because the mean of its divisors is an integer number (3031545).

Almost surely, 2^73809672 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 73809672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97009440).

73809672 is an abundant number, since it is smaller than the sum of its proper divisors (120209208).

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

73809672 is a wasteful number, since it uses less digits than its factorization.

73809672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 73809672 is about 8591.2555543413. The cubic root of 73809672 is about 419.4733989742.

The spelling of 73809672 in words is "seventy-three million, eight hundred nine thousand, six hundred seventy-two".