312158772 has 72 divisors (see below), whose sum is σ = 835825536. Its totient is φ = 101824128.

The previous prime is 312158753. The next prime is 312158797. The reversal of 312158772 is 277851213.

312158772 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 587 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42268 + ... + 49100.

It is an arithmetic number, because the mean of its divisors is an integer number (11608688).

Almost surely, 2^312158772 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 312158772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417912768).

312158772 is an abundant number, since it is smaller than the sum of its proper divisors (523666764).

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

312158772 is a wasteful number, since it uses less digits than its factorization.

312158772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6885 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 312158772 is about 17668.0155082567. The cubic root of 312158772 is about 678.3573181148.

The spelling of 312158772 in words is "three hundred twelve million, one hundred fifty-eight thousand, seven hundred seventy-two".