71617680 has 60 divisors (see below), whose sum is σ = 240518460. Its totient is φ = 19097856.

The previous prime is 71617649. The next prime is 71617691. The reversal of 71617680 is 8671617.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20466576 + 51151104 = 4524^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49015 + ... + 50454.

It is an arithmetic number, because the mean of its divisors is an integer number (4008641).

Almost surely, 2^71617680 is an apocalyptic number.

It is an amenable number.

71617680 is an abundant number, since it is smaller than the sum of its proper divisors (168900780).

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

71617680 is a wasteful number, since it uses less digits than its factorization.

71617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99488 (or 99479 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71617680 is about 8462.7229660435. The cubic root of 71617680 is about 415.2791077396.

It can be divided in two parts, 7161 and 7680, that added together give a palindrome (14841).

The spelling of 71617680 in words is "seventy-one million, six hundred seventeen thousand, six hundred eighty".