972373248 has 648 divisors, whose sum is σ = 3816802080. Its totient is φ = 243855360.

The previous prime is 972373229. The next prime is 972373267. The reversal of 972373248 is 842373279.

972373248 is a `hidden beast` number, since 97 + 237 + 324 + 8 = 666.

972373248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (972373229) and next prime (972373267).

It is a tau number, because it is divible by the number of its divisors (648).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33530098 + ... + 33530126.

Almost surely, 2^972373248 is an apocalyptic number.

972373248 is a gapful number since it is divisible by the number (98) 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 972373248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908401040).

972373248 is an abundant number, since it is smaller than the sum of its proper divisors (2844428832).

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

972373248 is a wasteful number, since it uses less digits than its factorization.

972373248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 972373248 is about 31182.8999292882. The cubic root of 972373248 is about 990.7049524486.

It can be divided in two parts, 972 and 373248, that multiplied together give a 11-th power (362797056 = 6¹¹).

The spelling of 972373248 in words is "nine hundred seventy-two million, three hundred seventy-three thousand, two hundred forty-eight".