1072378900 has 18 divisors (see below), whose sum is σ = 2327062430. Its totient is φ = 428951520.

The previous prime is 1072378891. The next prime is 1072378949. The reversal of 1072378900 is 98732701.

It can be written as a sum of positive squares in 3 ways, for example, as 42354064 + 1030024836 = 6508^2 + 32094^2 .

It is a super-2 number, since 2×1072378900² = 2299993010330420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072378900.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5361795 + ... + 5361994.

Almost surely, 2^1072378900 is an apocalyptic number.

1072378900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072378900 is an abundant number, since it is smaller than the sum of its proper divisors (1254683530).

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

1072378900 is a wasteful number, since it uses less digits than its factorization.

1072378900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723803 (or 10723796 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 1072378900 is about 32747.1968265988. The cubic root of 1072378900 is about 1023.5665546830.

The spelling of 1072378900 in words is "one billion, seventy-two million, three hundred seventy-eight thousand, nine hundred".