162405972 has 60 divisors (see below), whose sum is σ = 425912256. Its totient is φ = 53963280.

The previous prime is 162405959. The next prime is 162405979. The reversal of 162405972 is 279504261.

162405972 is a `hidden beast` number, since 1 + 62 + 4 + 0 + 597 + 2 = 666.

162405972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (162405979) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139063 + ... + 140225.

Almost surely, 2^162405972 is an apocalyptic number.

162405972 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 162405972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212956128).

162405972 is an abundant number, since it is smaller than the sum of its proper divisors (263506284).

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

162405972 is a wasteful number, since it uses less digits than its factorization.

162405972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 162405972 is about 12743.8601687244. The cubic root of 162405972 is about 545.5911684128.

The spelling of 162405972 in words is "one hundred sixty-two million, four hundred five thousand, nine hundred seventy-two".