1294875072 has 168 divisors, whose sum is σ = 3883152000. Its totient is φ = 427804416.

The previous prime is 1294875059. The next prime is 1294875073. The reversal of 1294875072 is 2705784921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294875073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2161429 + ... + 2162027.

It is an arithmetic number, because the mean of its divisors is an integer number (23114000).

Almost surely, 2^1294875072 is an apocalyptic number.

1294875072 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 1294875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941576000).

1294875072 is an abundant number, since it is smaller than the sum of its proper divisors (2588276928).

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

1294875072 is an equidigital number, since it uses as much as digits as its factorization.

1294875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1294875072 is about 35984.3726081198. The cubic root of 1294875072 is about 1089.9568122495.

The spelling of 1294875072 in words is "one billion, two hundred ninety-four million, eight hundred seventy-five thousand, seventy-two".