73606872 has 64 divisors (see below), whose sum is σ = 201592800. Its totient is φ = 22292480.

The previous prime is 73606867. The next prime is 73606879. The reversal of 73606872 is 27860637.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73606872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73606879) 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, 8722 + ... + 14942.

Almost surely, 2^73606872 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 73606872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100796400).

73606872 is an abundant number, since it is smaller than the sum of its proper divisors (127985928).

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

73606872 is a wasteful number, since it uses less digits than its factorization.

73606872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 73606872 is about 8579.4447372776. Note that the first 3 decimals coincide. The cubic root of 73606872 is about 419.0888638385.

The spelling of 73606872 in words is "seventy-three million, six hundred six thousand, eight hundred seventy-two".