8315972 has 48 divisors (see below), whose sum is σ = 17875200. Its totient is φ = 3307392.

The previous prime is 8315971. The next prime is 8315987. The reversal of 8315972 is 2795138.

8315972 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (15120) is a multiple of the sum of its prime factors (420).

8315972 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (8315971) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23654 + ... + 24002.

It is an arithmetic number, because the mean of its divisors is an integer number (372400).

Almost surely, 2^8315972 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 8315972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937600).

8315972 is an abundant number, since it is smaller than the sum of its proper divisors (9559228).

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

8315972 is a wasteful number, since it uses less digits than its factorization.

8315972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 8315972 is about 2883.7427069695. The cubic root of 8315972 is about 202.5991751163.

The spelling of 8315972 in words is "eight million, three hundred fifteen thousand, nine hundred seventy-two".