65952432 has 180 divisors, whose sum is σ = 231547680. Its totient is φ = 17369856.

The previous prime is 65952427. The next prime is 65952433. The reversal of 65952432 is 23425956.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65952433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91369 + ... + 92087.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^65952432 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 65952432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

65952432 is an abundant number, since it is smaller than the sum of its proper divisors (165595248).

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

65952432 is a wasteful number, since it uses less digits than its factorization.

65952432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 744 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 65952432 is about 8121.1102689226. The cubic root of 65952432 is about 404.0268909983.

The spelling of 65952432 in words is "sixty-five million, nine hundred fifty-two thousand, four hundred thirty-two".