1386272000 has 72 divisors (see below), whose sum is σ = 3453456552. Its totient is φ = 554496000.

The previous prime is 1386271973. The next prime is 1386272029. The reversal of 1386272000 is 2726831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 1386221824 = 224^2 + 37232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10340 + ... + 53660.

Almost surely, 2^1386272000 is an apocalyptic number.

1386272000 is a gapful number since it is divisible by the number (10) 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 1386272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726728276).

1386272000 is an abundant number, since it is smaller than the sum of its proper divisors (2067184552).

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

1386272000 is an frugal number, since it uses more digits than its factorization.

1386272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43352 (or 43328 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1386272000 is about 37232.6738228669. The cubic root of 1386272000 is about 1115.0204102520.

Adding to 1386272000 its reverse (2726831), we get a palindrome (1388998831).

The spelling of 1386272000 in words is "one billion, three hundred eighty-six million, two hundred seventy-two thousand".