71964561 has 8 divisors (see below), whose sum is σ = 96564544. Its totient is φ = 47670480.

The previous prime is 71964527. The next prime is 71964577. The reversal of 71964561 is 16546917.

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

It is not a de Polignac number, because 71964561 - 2⁹ = 71964049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71964511) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75925 + ... + 76866.

It is an arithmetic number, because the mean of its divisors is an integer number (12070568).

Almost surely, 2^71964561 is an apocalyptic number.

It is an amenable number.

71964561 is a deficient number, since it is larger than the sum of its proper divisors (24599983).

71964561 is a wasteful number, since it uses less digits than its factorization.

71964561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152951.

The product of its digits is 45360, while the sum is 39.

The square root of 71964561 is about 8483.1928541086. The cubic root of 71964561 is about 415.9484977692.

The spelling of 71964561 in words is "seventy-one million, nine hundred sixty-four thousand, five hundred sixty-one".