162972 has 30 divisors (see below), whose sum is σ = 426888. Its totient is φ = 54216.

The previous prime is 162971. The next prime is 162973. The reversal of 162972 is 279261.

It is an interprime number because it is at equal distance from previous prime (162971) and next prime (162973).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162972.

It is not an unprimeable number, because it can be changed into a prime (162971) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 73 + ... + 575.

2¹⁶²⁹⁷² is an apocalyptic number.

162972 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 162972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444).

162972 is an abundant number, since it is smaller than the sum of its proper divisors (263916).

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

162972 is a wasteful number, since it uses less digits than its factorization.

162972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 162972 is about 403.6979068561. The cubic root of 162972 is about 54.6224276900.

It can be divided in two parts, 162 and 972, that multiplied together give a cube (157464 = 54³).

The spelling of 162972 in words is "one hundred sixty-two thousand, nine hundred seventy-two".