65506752 has 112 divisors (see below), whose sum is σ = 194584320. Its totient is φ = 21609216.

The previous prime is 65506747. The next prime is 65506757. The reversal of 65506752 is 25760556.

It is an interprime number because it is at equal distance from previous prime (65506747) and next prime (65506757).

It is a super-2 number, since 2×65506752² = 8582269115179008, 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 not an unprimeable number, because it can be changed into a prime (65506757) 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, 288463 + ... + 288689.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^65506752 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 65506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

65506752 is an abundant number, since it is smaller than the sum of its proper divisors (129077568).

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

65506752 is a wasteful number, since it uses less digits than its factorization.

65506752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 65506752 is about 8093.6241573228. The cubic root of 65506752 is about 403.1147495501.

The spelling of 65506752 in words is "sixty-five million, five hundred six thousand, seven hundred fifty-two".