72164626 has 8 divisors (see below), whose sum is σ = 114614460. Its totient is φ = 33959808.

The previous prime is 72164623. The next prime is 72164629. The reversal of 72164626 is 62646127.

It is an interprime number because it is at equal distance from previous prime (72164623) and next prime (72164629).

It can be written as a sum of positive squares in 2 ways, for example, as 68906601 + 3258025 = 8301^2 + 1805^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34), and also a Moran number because the ratio is a prime number: 2122489 = 72164626 / (7 + 2 + 1 + 6 + 4 + 6 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 72164591 and 72164600.

It is not an unprimeable number, because it can be changed into a prime (72164623) 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, 1061211 + ... + 1061278.

Almost surely, 2^72164626 is an apocalyptic number.

72164626 is a deficient number, since it is larger than the sum of its proper divisors (42449834).

72164626 is a wasteful number, since it uses less digits than its factorization.

72164626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122508.

The product of its digits is 24192, while the sum is 34.

The square root of 72164626 is about 8494.9765155649. The cubic root of 72164626 is about 416.3335935182. Note that the first 3 decimals are identical.

The spelling of 72164626 in words is "seventy-two million, one hundred sixty-four thousand, six hundred twenty-six".