1352508672 has 72 divisors (see below), whose sum is σ = 3715828480. Its totient is φ = 436285440.

The previous prime is 1352508671. The next prime is 1352508679. The reversal of 1352508672 is 2768052531.

It is a self number, because there is not a number n which added to its sum of digits gives 1352508672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352508671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4597 + ... + 52212.

Almost surely, 2^1352508672 is an apocalyptic number.

1352508672 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 1352508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857914240).

1352508672 is an abundant number, since it is smaller than the sum of its proper divisors (2363319808).

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

1352508672 is an equidigital number, since it uses as much as digits as its factorization.

1352508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56859 (or 56845 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1352508672 is about 36776.4689985322. The cubic root of 1352508672 is about 1105.8936205422.

The spelling of 1352508672 in words is "one billion, three hundred fifty-two million, five hundred eight thousand, six hundred seventy-two".