1372042800 has 600 divisors, whose sum is σ = 5425206336. Its totient is φ = 330670080.

The previous prime is 1372042799. The next prime is 1372042813. The reversal of 1372042800 is 82402731.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25887574 + ... + 25887626.

Almost surely, 2^1372042800 is an apocalyptic number.

1372042800 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 1372042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712603168).

1372042800 is an abundant number, since it is smaller than the sum of its proper divisors (4053163536).

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

1372042800 is a wasteful number, since it uses less digits than its factorization.

1372042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1372042800 is about 37041.0960960931. The cubic root of 1372042800 is about 1111.1922908095.

The spelling of 1372042800 in words is "one billion, three hundred seventy-two million, forty-two thousand, eight hundred".