1072375200 has 720 divisors, whose sum is σ = 4499399520. Its totient is φ = 246343680.

The previous prime is 1072375153. The next prime is 1072375211. The reversal of 1072375200 is 25732701.

1072375200 is a `hidden beast` number, since 107 + 2 + 37 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1072375200² = 2299977139150080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16005567 + ... + 16005633.

It is an arithmetic number, because the mean of its divisors is an integer number (6249166).

Almost surely, 2^1072375200 is an apocalyptic number.

1072375200 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 1072375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249699760).

1072375200 is an abundant number, since it is smaller than the sum of its proper divisors (3427024320).

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

1072375200 is a wasteful number, since it uses less digits than its factorization.

1072375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1072375200 is about 32747.1403331650. The cubic root of 1072375200 is about 1023.5653774870.

The spelling of 1072375200 in words is "one billion, seventy-two million, three hundred seventy-five thousand, two hundred".