1392385752 has 72 divisors (see below), whose sum is σ = 3861152100. Its totient is φ = 453291552.

The previous prime is 1392385727. The next prime is 1392385783. The reversal of 1392385752 is 2575832931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1392385698 and 1392385707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127899 + ... + 138357.

Almost surely, 2^1392385752 is an apocalyptic number.

1392385752 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 1392385752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930576050).

1392385752 is an abundant number, since it is smaller than the sum of its proper divisors (2468766348).

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

1392385752 is a wasteful number, since it uses less digits than its factorization.

1392385752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10507 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1392385752 is about 37314.6854736845. The cubic root of 1392385752 is about 1116.6571648804.

The spelling of 1392385752 in words is "one billion, three hundred ninety-two million, three hundred eighty-five thousand, seven hundred fifty-two".