965610072 has 336 divisors, whose sum is σ = 3289492800. Its totient is φ = 264539520.

The previous prime is 965610031. The next prime is 965610101. The reversal of 965610072 is 270016569.

965610072 is a `hidden beast` number, since 96 + 561 + 0 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×965610072² = 1864805622295690368, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8858754 + ... + 8858862.

Almost surely, 2^965610072 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 965610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644746400).

965610072 is an abundant number, since it is smaller than the sum of its proper divisors (2323882728).

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

965610072 is a wasteful number, since it uses less digits than its factorization.

965610072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 965610072 is about 31074.2670388217. The cubic root of 965610072 is about 988.4027135472.

The spelling of 965610072 in words is "nine hundred sixty-five million, six hundred ten thousand, seventy-two".