71760961 has 8 divisors (see below), whose sum is σ = 76083840. Its totient is φ = 67449408.

The previous prime is 71760881. The next prime is 71760973. The reversal of 71760961 is 16906717.

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 71760961 - 2⁹ = 71760449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71760961.

It is not an unprimeable number, because it can be changed into a prime (71760061) 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, 12700 + ... + 17458.

It is an arithmetic number, because the mean of its divisors is an integer number (9510480).

Almost surely, 2^71760961 is an apocalyptic number.

It is an amenable number.

71760961 is a deficient number, since it is larger than the sum of its proper divisors (4322879).

71760961 is a wasteful number, since it uses less digits than its factorization.

71760961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663.

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 71760961 is about 8471.1841557128. The cubic root of 71760961 is about 415.5558642123. Note that the first 3 decimals are identical.

The spelling of 71760961 in words is "seventy-one million, seven hundred sixty thousand, nine hundred sixty-one".