72022160 has 120 divisors (see below), whose sum is σ = 205254720. Its totient is φ = 23369472.

The previous prime is 72022157. The next prime is 72022163. The reversal of 72022160 is 6122027.

It is an interprime number because it is at equal distance from previous prime (72022157) and next prime (72022163).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (72022163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73997 + ... + 74963.

It is an arithmetic number, because the mean of its divisors is an integer number (1710456).

Almost surely, 2^72022160 is an apocalyptic number.

72022160 is a gapful number since it is divisible by the number (70) 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 72022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

72022160 is an abundant number, since it is smaller than the sum of its proper divisors (133232560).

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

72022160 is a wasteful number, since it uses less digits than its factorization.

72022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72022160 is about 8486.5870643033. The cubic root of 72022160 is about 416.0594404709.

Adding to 72022160 its reverse (6122027), we get a palindrome (78144187).

The spelling of 72022160 in words is "seventy-two million, twenty-two thousand, one hundred sixty".