312240072 has 64 divisors (see below), whose sum is σ = 828115200. Its totient is φ = 97830720.

The previous prime is 312240031. The next prime is 312240073. The reversal of 312240072 is 270042213.

It is not an unprimeable number, because it can be changed into a prime (312240073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57123 + ... + 62349.

It is an arithmetic number, because the mean of its divisors is an integer number (12939300).

Almost surely, 2^312240072 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 312240072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414057600).

312240072 is an abundant number, since it is smaller than the sum of its proper divisors (515875128).

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

312240072 is a wasteful number, since it uses less digits than its factorization.

312240072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 312240072 is about 17670.3161262044. The cubic root of 312240072 is about 678.4162044549.

Adding to 312240072 its reverse (270042213), we get a palindrome (582282285).

The spelling of 312240072 in words is "three hundred twelve million, two hundred forty thousand, seventy-two".