65329152 has 192 divisors, whose sum is σ = 209664000. Its totient is φ = 18063360.

The previous prime is 65329151. The next prime is 65329153. The reversal of 65329152 is 25192356.

It is an interprime number because it is at equal distance from previous prime (65329151) and next prime (65329153).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65329151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107377 + ... + 2107407.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^65329152 is an apocalyptic number.

65329152 is a gapful number since it is divisible by the number (62) 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 65329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

65329152 is an abundant number, since it is smaller than the sum of its proper divisors (144334848).

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

65329152 is an equidigital number, since it uses as much as digits as its factorization.

65329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 43 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 65329152 is about 8082.6451115956. The cubic root of 65329152 is about 402.7501154963.

The spelling of 65329152 in words is "sixty-five million, three hundred twenty-nine thousand, one hundred fifty-two".