1372106400 has 576 divisors, whose sum is σ = 5507647488. Its totient is φ = 289935360.

The previous prime is 1372106387. The next prime is 1372106443. The reversal of 1372106400 is 46012731.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 20479167 + ... + 20479233.

It is an arithmetic number, because the mean of its divisors is an integer number (9561888).

Almost surely, 2^1372106400 is an apocalyptic number.

1372106400 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 1372106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753823744).

1372106400 is an abundant number, since it is smaller than the sum of its proper divisors (4135541088).

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

1372106400 is a wasteful number, since it uses less digits than its factorization.

1372106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1372106400 is about 37041.9545920568. The cubic root of 1372106400 is about 1111.2094600352.

The spelling of 1372106400 in words is "one billion, three hundred seventy-two million, one hundred six thousand, four hundred".