71655072 has 48 divisors (see below), whose sum is σ = 192108672. Its totient is φ = 23375360.

The previous prime is 71655049. The next prime is 71655109. The reversal of 71655072 is 27055617.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 3429 + ... + 12452.

It is an arithmetic number, because the mean of its divisors is an integer number (4002264).

Almost surely, 2^71655072 is an apocalyptic number.

It is an amenable number.

71655072 is an abundant number, since it is smaller than the sum of its proper divisors (120453600).

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

71655072 is a wasteful number, since it uses less digits than its factorization.

71655072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 71655072 is about 8464.9318957686. The cubic root of 71655072 is about 415.3513683636.

The spelling of 71655072 in words is "seventy-one million, six hundred fifty-five thousand, seventy-two".