65278752 has 96 divisors (see below), whose sum is σ = 213663744. Its totient is φ = 16953600.

The previous prime is 65278747. The next prime is 65278757. The reversal of 65278752 is 25787256.

It is an interprime number because it is at equal distance from previous prime (65278747) and next prime (65278757).

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

It is a super-2 number, since 2×65278752² = 8522630925355008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (65278757) 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, 2977 + ... + 11807.

It is an arithmetic number, because the mean of its divisors is an integer number (2225664).

Almost surely, 2^65278752 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 65278752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106831872).

65278752 is an abundant number, since it is smaller than the sum of its proper divisors (148384992).

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

65278752 is a wasteful number, since it uses less digits than its factorization.

65278752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8854 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 65278752 is about 8079.5267188122. The cubic root of 65278752 is about 402.6465179067.

The spelling of 65278752 in words is "sixty-five million, two hundred seventy-eight thousand, seven hundred fifty-two".