815310072 has 96 divisors (see below), whose sum is σ = 2439758880. Its totient is φ = 244654080.

The previous prime is 815310053. The next prime is 815310107. The reversal of 815310072 is 270013518.

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, 13672 + ... + 42632.

It is an arithmetic number, because the mean of its divisors is an integer number (25414155).

Almost surely, 2^815310072 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 815310072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219879440).

815310072 is an abundant number, since it is smaller than the sum of its proper divisors (1624448808).

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

815310072 is a wasteful number, since it uses less digits than its factorization.

815310072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29013 (or 29006 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 815310072 is about 28553.6350050217. The cubic root of 815310072 is about 934.2023078155.

It can be divided in two parts, 8153 and 10072, that added together give a square (18225 = 135²).

The spelling of 815310072 in words is "eight hundred fifteen million, three hundred ten thousand, seventy-two".