1352287872 has 320 divisors, whose sum is σ = 4423372800. Its totient is φ = 407586816.

The previous prime is 1352287861. The next prime is 1352287883. The reversal of 1352287872 is 2787822531.

It is an interprime number because it is at equal distance from previous prime (1352287861) and next prime (1352287883).

Its product of digits (376320) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10647873 + ... + 10647999.

It is an arithmetic number, because the mean of its divisors is an integer number (13823040).

Almost surely, 2^1352287872 is an apocalyptic number.

1352287872 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 1352287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211686400).

1352287872 is an abundant number, since it is smaller than the sum of its proper divisors (3071084928).

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

1352287872 is a wasteful number, since it uses less digits than its factorization.

1352287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 1352287872 is about 36773.4669564892. The cubic root of 1352287872 is about 1105.8334374160.

The spelling of 1352287872 in words is "one billion, three hundred fifty-two million, two hundred eighty-seven thousand, eight hundred seventy-two".