72164430 has 96 divisors (see below), whose sum is σ = 207645984. Its totient is φ = 17273088.

The previous prime is 72164423. The next prime is 72164459. The reversal of 72164430 is 3446127.

72164430 is a `hidden beast` number, since 7 + 216 + 443 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72164394 and 72164403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42457 + ... + 44123.

It is an arithmetic number, because the mean of its divisors is an integer number (2162979).

Almost surely, 2^72164430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72164430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822992).

72164430 is an abundant number, since it is smaller than the sum of its proper divisors (135481554).

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

72164430 is a wasteful number, since it uses less digits than its factorization.

72164430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72164430 is about 8494.9649793275. The cubic root of 72164430 is about 416.3332165955. Note that the first 3 decimals are identical.

The spelling of 72164430 in words is "seventy-two million, one hundred sixty-four thousand, four hundred thirty".