1315722672 has 120 divisors (see below), whose sum is σ = 4028523408. Its totient is φ = 397555200.

The previous prime is 1315722649. The next prime is 1315722679. The reversal of 1315722672 is 2762275131.

1315722672 is a `hidden beast` number, since 13 + 1 + 572 + 2 + 6 + 72 = 666.

It is a super-2 number, since 2×1315722672² = 3462252299229639168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1315722679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665878 + ... + 667850.

Almost surely, 2^1315722672 is an apocalyptic number.

1315722672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315722672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014261704).

1315722672 is an abundant number, since it is smaller than the sum of its proper divisors (2712800736).

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

1315722672 is a wasteful number, since it uses less digits than its factorization.

1315722672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 1315722672 is about 36272.8916961413. The cubic root of 1315722672 is about 1095.7751638891.

The spelling of 1315722672 in words is "one billion, three hundred fifteen million, seven hundred twenty-two thousand, six hundred seventy-two".