972078912 has 168 divisors, whose sum is σ = 3352190400. Its totient is φ = 263098368.

The previous prime is 972078901. The next prime is 972078929. The reversal of 972078912 is 219870279.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×972078912² = 1889874822310207488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70264 + ... + 82952.

Almost surely, 2^972078912 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 972078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676095200).

972078912 is an abundant number, since it is smaller than the sum of its proper divisors (2380111488).

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

972078912 is a wasteful number, since it uses less digits than its factorization.

972078912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 972078912 is about 31178.1800623449. The cubic root of 972078912 is about 990.6049807005.

The spelling of 972078912 in words is "nine hundred seventy-two million, seventy-eight thousand, nine hundred twelve".