1145167872 has 112 divisors (see below), whose sum is σ = 3234397392. Its totient is φ = 359137280.

The previous prime is 1145167853. The next prime is 1145167879. The reversal of 1145167872 is 2787615411.

It is a super-2 number, since 2×1145167872² = 2622818910122016768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145167879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416422 + ... + 419162.

Almost surely, 2^1145167872 is an apocalyptic number.

1145167872 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 1145167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617198696).

1145167872 is an abundant number, since it is smaller than the sum of its proper divisors (2089229520).

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

1145167872 is an equidigital number, since it uses as much as digits as its factorization.

1145167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2763 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 1145167872 is about 33840.3290764141. The cubic root of 1145167872 is about 1046.2200814775.

The spelling of 1145167872 in words is "one billion, one hundred forty-five million, one hundred sixty-seven thousand, eight hundred seventy-two".