72418212 has 60 divisors (see below), whose sum is σ = 191276316. Its totient is φ = 23889600.

The previous prime is 72418187. The next prime is 72418219. The reversal of 72418212 is 21281427.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 1454436 = 8424^2 + 1206^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72418219) 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, 31618 + ... + 33830.

Almost surely, 2^72418212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72418212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95638158).

72418212 is an abundant number, since it is smaller than the sum of its proper divisors (118858104).

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

72418212 is a wasteful number, since it uses less digits than its factorization.

72418212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2319 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 72418212 is about 8509.8890709574. The cubic root of 72418212 is about 416.8206878767.

Adding to 72418212 its reverse (21281427), we get a palindrome (93699639).

The spelling of 72418212 in words is "seventy-two million, four hundred eighteen thousand, two hundred twelve".