72169146 has 96 divisors (see below), whose sum is σ = 185597568. Its totient is φ = 19843200.

The previous prime is 72169133. The next prime is 72169151. The reversal of 72169146 is 64196127.

It is a self number, because there is not a number n which added to its sum of digits gives 72169146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674425 + ... + 674531.

It is an arithmetic number, because the mean of its divisors is an integer number (1933308).

Almost surely, 2^72169146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72169146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92798784).

72169146 is an abundant number, since it is smaller than the sum of its proper divisors (113428422).

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

72169146 is a wasteful number, since it uses less digits than its factorization.

72169146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 72169146 is about 8495.2425509811. The cubic root of 72169146 is about 416.3422856280.

The spelling of 72169146 in words is "seventy-two million, one hundred sixty-nine thousand, one hundred forty-six".