972736000 has 80 divisors (see below), whose sum is σ = 2425737600. Its totient is φ = 389068800.

The previous prime is 972735991. The next prime is 972736001. The reversal of 972736000 is 637279.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972736001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56401 + ... + 71599.

It is an arithmetic number, because the mean of its divisors is an integer number (30321720).

Almost surely, 2^972736000 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 972736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212868800).

972736000 is an abundant number, since it is smaller than the sum of its proper divisors (1453001600).

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

972736000 is an equidigital number, since it uses as much as digits as its factorization.

972736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232 (or 15206 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 972736000 is about 31188.7159081614. The cubic root of 972736000 is about 990.8281340639.

The spelling of 972736000 in words is "nine hundred seventy-two million, seven hundred thirty-six thousand".