65072640 has 160 divisors (see below), whose sum is σ = 214584480. Its totient is φ = 16809984.

The previous prime is 65072633. The next prime is 65072653. The reversal of 65072640 is 4627056.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65072598 and 65072607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284046 + ... + 284274.

It is an arithmetic number, because the mean of its divisors is an integer number (1341153).

Almost surely, 2^65072640 is an apocalyptic number.

65072640 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 65072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107292240).

65072640 is an abundant number, since it is smaller than the sum of its proper divisors (149511840).

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

65072640 is a wasteful number, since it uses less digits than its factorization.

65072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 65072640 is about 8066.7614319502. The cubic root of 65072640 is about 402.2222972889. Note that the first 4 decimals are identical.

Adding to 65072640 its reverse (4627056), we get a palindrome (69699696).

The spelling of 65072640 in words is "sixty-five million, seventy-two thousand, six hundred forty".