162713772 has 144 divisors (see below), whose sum is σ = 468016640. Its totient is φ = 49128768.

The previous prime is 162713731. The next prime is 162713773. The reversal of 162713772 is 277317261.

162713772 is a `hidden beast` number, since 16 + 271 + 377 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162713773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998163 + ... + 998325.

Almost surely, 2^162713772 is an apocalyptic number.

162713772 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 162713772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234008320).

162713772 is an abundant number, since it is smaller than the sum of its proper divisors (305302868).

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

162713772 is a wasteful number, since it uses less digits than its factorization.

162713772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 162713772 is about 12755.9308558803. The cubic root of 162713772 is about 545.9356282038.

The spelling of 162713772 in words is "one hundred sixty-two million, seven hundred thirteen thousand, seven hundred seventy-two".