72164792 has 16 divisors (see below), whose sum is σ = 154638960. Its totient is φ = 30927744.

The previous prime is 72164783. The next prime is 72164801. The reversal of 72164792 is 29746127.

It is an interprime number because it is at equal distance from previous prime (72164783) and next prime (72164801).

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, 644273 + ... + 644384.

It is an arithmetic number, because the mean of its divisors is an integer number (9664935).

Almost surely, 2^72164792 is an apocalyptic number.

It is an amenable number.

72164792 is an abundant number, since it is smaller than the sum of its proper divisors (82474168).

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

72164792 is a wasteful number, since it uses less digits than its factorization.

72164792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288670 (or 1288666 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 72164792 is about 8494.9862860395. The cubic root of 72164792 is about 416.3339127481. Note that the first 3 decimals are identical.

The spelling of 72164792 in words is "seventy-two million, one hundred sixty-four thousand, seven hundred ninety-two".