65072131 has 8 divisors (see below), whose sum is σ = 70707200. Its totient is φ = 59658120.

The previous prime is 65072113. The next prime is 65072149. The reversal of 65072131 is 13127056.

It is an interprime number because it is at equal distance from previous prime (65072113) and next prime (65072149).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65072131 - 2¹³ = 65063939 is a prime.

It is a super-2 number, since 2×65072131² = 8468764465762322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65072096 and 65072105.

It is not an unprimeable number, because it can be changed into a prime (65072101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54651 + ... + 55828.

It is an arithmetic number, because the mean of its divisors is an integer number (8838400).

Almost surely, 2^65072131 is an apocalyptic number.

65072131 is a deficient number, since it is larger than the sum of its proper divisors (5635069).

65072131 is a wasteful number, since it uses less digits than its factorization.

65072131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110529.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 65072131 is about 8066.7298826724. The cubic root of 65072131 is about 402.2212485548.

Adding to 65072131 its reverse (13127056), we get a palindrome (78199187).

The spelling of 65072131 in words is "sixty-five million, seventy-two thousand, one hundred thirty-one".