818307072 has 168 divisors, whose sum is σ = 2581305480. Its totient is φ = 247726080.

The previous prime is 818307047. The next prime is 818307073. The reversal of 818307072 is 270703818.

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

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818307073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810504 + ... + 811512.

Almost surely, 2^818307072 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 818307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290652740).

818307072 is an abundant number, since it is smaller than the sum of its proper divisors (1762998408).

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

818307072 is a wasteful number, since it uses less digits than its factorization.

818307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 818307072 is about 28606.0670487923. The cubic root of 818307072 is about 935.3455868367.

The spelling of 818307072 in words is "eight hundred eighteen million, three hundred seven thousand, seventy-two".