312009072 has 40 divisors (see below), whose sum is σ = 807098640. Its totient is φ = 103864320.

The previous prime is 312009059. The next prime is 312009101. The reversal of 312009072 is 270900213.

It is a super-2 number, since 2×312009072² = 194699322020602368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35872 + ... + 43712.

It is an arithmetic number, because the mean of its divisors is an integer number (20177466).

Almost surely, 2^312009072 is an apocalyptic number.

It is an amenable number.

312009072 is an abundant number, since it is smaller than the sum of its proper divisors (495089568).

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

312009072 is a wasteful number, since it uses less digits than its factorization.

312009072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 312009072 is about 17663.7785312203. The cubic root of 312009072 is about 678.2488622721.

Adding to 312009072 its reverse (270900213), we get a palindrome (582909285).

The spelling of 312009072 in words is "three hundred twelve million, nine thousand, seventy-two".