1352563272 has 144 divisors (see below), whose sum is σ = 3866922540. Its totient is φ = 443418624.

The previous prime is 1352563243. The next prime is 1352563273. The reversal of 1352563272 is 2723652531.

1352563272 is a `hidden beast` number, since 1 + 3 + 525 + 63 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1352327076 + 236196 = 36774^2 + 486^2 .

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 (1352563273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3831448 + ... + 3831800.

Almost surely, 2^1352563272 is an apocalyptic number.

1352563272 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 1352563272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933461270).

1352563272 is an abundant number, since it is smaller than the sum of its proper divisors (2514359268).

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

1352563272 is an frugal number, since it uses more digits than its factorization.

1352563272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 431 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 1352563272 is about 36777.2113135295. The cubic root of 1352563272 is about 1105.9085017725.

The spelling of 1352563272 in words is "one billion, three hundred fifty-two million, five hundred sixty-three thousand, two hundred seventy-two".