72664134 has 8 divisors (see below), whose sum is σ = 145328280. Its totient is φ = 24221376.

The previous prime is 72664133. The next prime is 72664157. The reversal of 72664134 is 43146627.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

72664134 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 72664095 and 72664104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72664133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6055339 + ... + 6055350.

It is an arithmetic number, because the mean of its divisors is an integer number (18166035).

Almost surely, 2^72664134 is an apocalyptic number.

72664134 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72664134 is a wasteful number, since it uses less digits than its factorization.

72664134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12110694.

The product of its digits is 24192, while the sum is 33.

The square root of 72664134 is about 8524.3260144131. The cubic root of 72664134 is about 417.2919761596.

The spelling of 72664134 in words is "seventy-two million, six hundred sixty-four thousand, one hundred thirty-four".