972065016 has 192 divisors, whose sum is σ = 3021696000. Its totient is φ = 289111680.

The previous prime is 972064979. The next prime is 972065027. The reversal of 972065016 is 610560279.

972065016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1131195 + ... + 1132053.

It is an arithmetic number, because the mean of its divisors is an integer number (15738000).

Almost surely, 2^972065016 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 972065016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510848000).

972065016 is an abundant number, since it is smaller than the sum of its proper divisors (2049630984).

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

972065016 is a wasteful number, since it uses less digits than its factorization.

972065016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 908 counting only the distinct ones).

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

The square root of 972065016 is about 31177.9572133904. The cubic root of 972065016 is about 990.6002604005.

The spelling of 972065016 in words is "nine hundred seventy-two million, sixty-five thousand, sixteen".