1334172672 has 132 divisors (see below), whose sum is σ = 4402949616. Its totient is φ = 381173760.

The previous prime is 1334172667. The next prime is 1334172673. The reversal of 1334172672 is 2762714331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334172673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54172 + ... + 74852.

Almost surely, 2^1334172672 is an apocalyptic number.

1334172672 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 1334172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201474808).

1334172672 is an abundant number, since it is smaller than the sum of its proper divisors (3068776944).

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

1334172672 is a wasteful number, since it uses less digits than its factorization.

1334172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20714 (or 20693 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 1334172672 is about 36526.3284768672. The cubic root of 1334172672 is about 1100.8733207878.

The spelling of 1334172672 in words is "one billion, three hundred thirty-four million, one hundred seventy-two thousand, six hundred seventy-two".