312072500 has 60 divisors (see below), whose sum is σ = 698551392. Its totient is φ = 121884000.

The previous prime is 312072499. The next prime is 312072503. The reversal of 312072500 is 5270213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312072503) 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, 106049 + ... + 108951.

Almost surely, 2^312072500 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 312072500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349275696).

312072500 is an abundant number, since it is smaller than the sum of its proper divisors (386478892).

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

312072500 is a wasteful number, since it uses less digits than its factorization.

312072500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 312072500 is about 17665.5738655726. The cubic root of 312072500 is about 678.2948193268.

The spelling of 312072500 in words is "three hundred twelve million, seventy-two thousand, five hundred".