1372727040 has 288 divisors, whose sum is σ = 4573981440. Its totient is φ = 350650368.

The previous prime is 1372727039. The next prime is 1372727053. The reversal of 1372727040 is 407272731.

It is a junction number, because it is equal to n+sod(n) for n = 1372726992 and 1372727010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16538839 + ... + 16538921.

It is an arithmetic number, because the mean of its divisors is an integer number (15881880).

Almost surely, 2^1372727040 is an apocalyptic number.

1372727040 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 1372727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286990720).

1372727040 is an abundant number, since it is smaller than the sum of its proper divisors (3201254400).

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

1372727040 is an equidigital number, since it uses as much as digits as its factorization.

1372727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 1372727040 is about 37050.3311726090. The cubic root of 1372727040 is about 1111.3769779190.

Adding to 1372727040 its reverse (407272731), we get a palindrome (1779999771).

The spelling of 1372727040 in words is "one billion, three hundred seventy-two million, seven hundred twenty-seven thousand, forty".