72646146 has 40 divisors (see below), whose sum is σ = 165872124. Its totient is φ = 23755680.

The previous prime is 72646111. The next prime is 72646153. The reversal of 72646146 is 64164627.

72646146 is a `hidden beast` number, since 7 + 2 + 646 + 1 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66341025 + 6305121 = 8145^2 + 2511^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72646146.

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 19 ways as a sum of consecutive naturals, for example, 4356 + ... + 12816.

Almost surely, 2^72646146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72646146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82936062).

72646146 is an abundant number, since it is smaller than the sum of its proper divisors (93225978).

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

72646146 is a wasteful number, since it uses less digits than its factorization.

72646146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 8519 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72646146 is about 8523.2708510290. The cubic root of 72646146 is about 417.2575397872.

The spelling of 72646146 in words is "seventy-two million, six hundred forty-six thousand, one hundred forty-six".