1461665072 has 80 divisors (see below), whose sum is σ = 3297503232. Its totient is φ = 614718720.

The previous prime is 1461665071. The next prime is 1461665077. The reversal of 1461665072 is 2705661641.

It is not an unprimeable number, because it can be changed into a prime (1461665071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156713 + ... + 3157175.

Almost surely, 2^1461665072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461665072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648751616).

1461665072 is an abundant number, since it is smaller than the sum of its proper divisors (1835838160).

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

1461665072 is a wasteful number, since it uses less digits than its factorization.

1461665072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 1461665072 is about 38231.7286033472. The cubic root of 1461665072 is about 1134.8782941815.

The spelling of 1461665072 in words is "one billion, four hundred sixty-one million, six hundred sixty-five thousand, seventy-two".