72045162 has 48 divisors (see below), whose sum is σ = 180573120. Its totient is φ = 20336328.

The previous prime is 72045161. The next prime is 72045199. The reversal of 72045162 is 26154027.

It is not an unprimeable number, because it can be changed into a prime (72045161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867973 + ... + 868055.

It is an arithmetic number, because the mean of its divisors is an integer number (3761940).

Almost surely, 2^72045162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72045162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286560).

72045162 is an abundant number, since it is smaller than the sum of its proper divisors (108527958).

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

72045162 is an frugal number, since it uses more digits than its factorization.

72045162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72045162 is about 8487.9421534315. The cubic root of 72045162 is about 416.1037286021.

Adding to 72045162 its reverse (26154027), we get a palindrome (98199189).

The spelling of 72045162 in words is "seventy-two million, forty-five thousand, one hundred sixty-two".