1331292672 has 200 divisors, whose sum is σ = 4064043456. Its totient is φ = 433686528.

The previous prime is 1331292659. The next prime is 1331292691. The reversal of 1331292672 is 2762921331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1948843 + ... + 1949525.

Almost surely, 2^1331292672 is an apocalyptic number.

1331292672 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 1331292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032021728).

1331292672 is an abundant number, since it is smaller than the sum of its proper divisors (2732750784).

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

1331292672 is an frugal number, since it uses more digits than its factorization.

1331292672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 735 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1331292672 is about 36486.8835610826. The cubic root of 1331292672 is about 1100.0806199865.

The spelling of 1331292672 in words is "one billion, three hundred thirty-one million, two hundred ninety-two thousand, six hundred seventy-two".