164273772 has 72 divisors (see below), whose sum is σ = 435809136. Its totient is φ = 47869056.

The previous prime is 164273741. The next prime is 164273801. The reversal of 164273772 is 277372461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 164273772.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54858 + ... + 57774.

Almost surely, 2^164273772 is an apocalyptic number.

164273772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164273772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217904568).

164273772 is an abundant number, since it is smaller than the sum of its proper divisors (271535364).

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

164273772 is a wasteful number, since it uses less digits than its factorization.

164273772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2954 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 164273772 is about 12816.9330184721. The cubic root of 164273772 is about 547.6747808361.

The spelling of 164273772 in words is "one hundred sixty-four million, two hundred seventy-three thousand, seven hundred seventy-two".