1365004872 has 288 divisors, whose sum is σ = 4821835200. Its totient is φ = 354119040.

The previous prime is 1365004829. The next prime is 1365004903. The reversal of 1365004872 is 2784005631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1646154 + ... + 1646982.

Almost surely, 2^1365004872 is an apocalyptic number.

1365004872 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 1365004872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410917600).

1365004872 is an abundant number, since it is smaller than the sum of its proper divisors (3456830328).

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

1365004872 is a wasteful number, since it uses less digits than its factorization.

1365004872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1365004872 is about 36945.9723379965. The cubic root of 1365004872 is about 1109.2890699634.

The spelling of 1365004872 in words is "one billion, three hundred sixty-five million, four thousand, eight hundred seventy-two".