71751961 has 8 divisors (see below), whose sum is σ = 76593600. Its totient is φ = 67016880.

The previous prime is 71751959. The next prime is 71752001. The reversal of 71751961 is 16915717.

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 71751961 - 2¹ = 71751959 is a prime.

It is a super-3 number, since 3×71751961³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71751961.

It is not an unprimeable number, because it can be changed into a prime (71751941) 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, 25246 + ... + 27943.

It is an arithmetic number, because the mean of its divisors is an integer number (9574200).

Almost surely, 2^71751961 is an apocalyptic number.

71751961 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

71751961 is a deficient number, since it is larger than the sum of its proper divisors (4841639).

71751961 is a wasteful number, since it uses less digits than its factorization.

71751961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53279.

The product of its digits is 13230, while the sum is 37.

The square root of 71751961 is about 8470.6529264278. The cubic root of 71751961 is about 415.5384909818.

The spelling of 71751961 in words is "seventy-one million, seven hundred fifty-one thousand, nine hundred sixty-one".