65275200 has 168 divisors, whose sum is σ = 238109760. Its totient is φ = 17395200.

The previous prime is 65275193. The next prime is 65275207. The reversal of 65275200 is 257256.

65275200 is a `hidden beast` number, since 652 + 7 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65275193) and next prime (65275207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65275207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42445 + ... + 43955.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^65275200 is an apocalyptic number.

65275200 is a gapful number since it is divisible by the number (60) 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 65275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

65275200 is an abundant number, since it is smaller than the sum of its proper divisors (172834560).

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

65275200 is a wasteful number, since it uses less digits than its factorization.

65275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 65275200 is about 8079.3069009662. The cubic root of 65275200 is about 402.6392147321.

The spelling of 65275200 in words is "sixty-five million, two hundred seventy-five thousand, two hundred".