72164436 has 12 divisors (see below), whose sum is σ = 168383712. Its totient is φ = 24054808.

The previous prime is 72164423. The next prime is 72164459. The reversal of 72164436 is 63446127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 72164397 and 72164406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3006840 + ... + 3006863.

It is an arithmetic number, because the mean of its divisors is an integer number (14031976).

Almost surely, 2^72164436 is an apocalyptic number.

It is an amenable number.

72164436 is an abundant number, since it is smaller than the sum of its proper divisors (96219276).

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

72164436 is a wasteful number, since it uses less digits than its factorization.

72164436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013710 (or 6013708 counting only the distinct ones).

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

The square root of 72164436 is about 8494.9653324778. The cubic root of 72164436 is about 416.3332281339. Note that the first 3 decimals are identical.

The spelling of 72164436 in words is "seventy-two million, one hundred sixty-four thousand, four hundred thirty-six".