1372906800 has 240 divisors, whose sum is σ = 5099911680. Its totient is φ = 350127360.

The previous prime is 1372906781. The next prime is 1372906817. The reversal of 1372906800 is 86092731.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 245637 + ... + 251163.

It is an arithmetic number, because the mean of its divisors is an integer number (21249632).

Almost surely, 2^1372906800 is an apocalyptic number.

1372906800 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 1372906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549955840).

1372906800 is an abundant number, since it is smaller than the sum of its proper divisors (3727004880).

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

1372906800 is a wasteful number, since it uses less digits than its factorization.

1372906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1372906800 is about 37052.7569824433. The cubic root of 1372906800 is about 1111.4254877829.

The spelling of 1372906800 in words is "one billion, three hundred seventy-two million, nine hundred six thousand, eight hundred".