972324720 has 240 divisors, whose sum is σ = 3398353920. Its totient is φ = 248956416.

The previous prime is 972324719. The next prime is 972324751. The reversal of 972324720 is 27423279.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×972324720² = 1890830722246156800, 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996317 + ... + 1996803.

It is an arithmetic number, because the mean of its divisors is an integer number (14159808).

Almost surely, 2^972324720 is an apocalyptic number.

972324720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972324720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699176960).

972324720 is an abundant number, since it is smaller than the sum of its proper divisors (2426029200).

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

972324720 is a wasteful number, since it uses less digits than its factorization.

972324720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 972324720 is about 31182.1218008012. The cubic root of 972324720 is about 990.6884712157.

Adding to 972324720 its reverse (27423279), we get a palindrome (999747999).

It can be divided in two parts, 9723 and 24720, that added together give a palindrome (34443).

The spelling of 972324720 in words is "nine hundred seventy-two million, three hundred twenty-four thousand, seven hundred twenty".