1372968000 has 168 divisors, whose sum is σ = 4911592920. Its totient is φ = 366105600.

The previous prime is 1372967971. The next prime is 1372968011. The reversal of 1372968000 is 8692731.

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 1344835584 = 5304^2 + 36672^2 .

It is a super-2 number, since 2×1372968000² = 3770082258048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62466 + ... + 81534.

Almost surely, 2^1372968000 is an apocalyptic number.

1372968000 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 1372968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455796460).

1372968000 is an abundant number, since it is smaller than the sum of its proper divisors (3538624920).

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

1372968000 is a wasteful number, since it uses less digits than its factorization.

1372968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19102 (or 19079 counting only the distinct ones).

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

The square root of 1372968000 is about 37053.5828227177. The cubic root of 1372968000 is about 1111.4420021909.

The spelling of 1372968000 in words is "one billion, three hundred seventy-two million, nine hundred sixty-eight thousand".