1365903672 has 64 divisors (see below), whose sum is σ = 3911604480. Its totient is φ = 389356032.

The previous prime is 1365903661. The next prime is 1365903677. The reversal of 1365903672 is 2763095631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365903677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65248 + ... + 83600.

It is an arithmetic number, because the mean of its divisors is an integer number (61118820).

Almost surely, 2^1365903672 is an apocalyptic number.

1365903672 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 1365903672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955802240).

1365903672 is an abundant number, since it is smaller than the sum of its proper divisors (2545700808).

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

1365903672 is a wasteful number, since it uses less digits than its factorization.

1365903672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812 (or 18808 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 1365903672 is about 36958.1340438069. The cubic root of 1365903672 is about 1109.5324904039.

The spelling of 1365903672 in words is "one billion, three hundred sixty-five million, nine hundred three thousand, six hundred seventy-two".