972385152 has 96 divisors (see below), whose sum is σ = 2619978120. Its totient is φ = 319527936.

The previous prime is 972385147. The next prime is 972385157. The reversal of 972385152 is 251583279.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (972385147) and next prime (972385157).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972385157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6193458 + ... + 6193614.

Almost surely, 2^972385152 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 972385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309989060).

972385152 is an abundant number, since it is smaller than the sum of its proper divisors (1647592968).

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

972385152 is a wasteful number, since it uses less digits than its factorization.

972385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 289 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 972385152 is about 31183.0908025487. The cubic root of 972385152 is about 990.7089952390.

The spelling of 972385152 in words is "nine hundred seventy-two million, three hundred eighty-five thousand, one hundred fifty-two".