1125180672 has 288 divisors, whose sum is σ = 3814594560. Its totient is φ = 285941760.

The previous prime is 1125180653. The next prime is 1125180709. The reversal of 1125180672 is 2760815211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3134029 + ... + 3134387.

It is an arithmetic number, because the mean of its divisors is an integer number (13245120).

Almost surely, 2^1125180672 is an apocalyptic number.

1125180672 is a gapful number since it is divisible by the number (12) 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 1125180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907297280).

1125180672 is an abundant number, since it is smaller than the sum of its proper divisors (2689413888).

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

1125180672 is a wasteful number, since it uses less digits than its factorization.

1125180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1125180672 is about 33543.7128535289. The cubic root of 1125180672 is about 1040.0975845316.

Adding to 1125180672 its reverse (2760815211), we get a palindrome (3885995883).

The spelling of 1125180672 in words is "one billion, one hundred twenty-five million, one hundred eighty thousand, six hundred seventy-two".