72406312 has 32 divisors (see below), whose sum is σ = 149112000. Its totient is φ = 32688000.

The previous prime is 72406303. The next prime is 72406319. The reversal of 72406312 is 21360427.

It is not an unprimeable number, because it can be changed into a prime (72406319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10564 + ... + 16012.

It is an arithmetic number, because the mean of its divisors is an integer number (4659750).

Almost surely, 2^72406312 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 72406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74556000).

72406312 is an abundant number, since it is smaller than the sum of its proper divisors (76705688).

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

72406312 is a wasteful number, since it uses less digits than its factorization.

72406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72406312 is about 8509.1898556796. The cubic root of 72406312 is about 416.7978555082.

Adding to 72406312 its reverse (21360427), we get a palindrome (93766739).

The spelling of 72406312 in words is "seventy-two million, four hundred six thousand, three hundred twelve".