73167696 has 120 divisors (see below), whose sum is σ = 242186880. Its totient is φ = 20176128.

The previous prime is 73167671. The next prime is 73167697. The reversal of 73167696 is 69676137.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73167697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27981 + ... + 30483.

It is an arithmetic number, because the mean of its divisors is an integer number (2018224).

Almost surely, 2^73167696 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 73167696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121093440).

73167696 is an abundant number, since it is smaller than the sum of its proper divisors (169019184).

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

73167696 is a wasteful number, since it uses less digits than its factorization.

73167696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2544 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 73167696 is about 8553.8117818900. The cubic root of 73167696 is about 418.2537015914.

The spelling of 73167696 in words is "seventy-three million, one hundred sixty-seven thousand, six hundred ninety-six".