71556672 has 112 divisors (see below), whose sum is σ = 218797632. Its totient is φ = 20398080.

The previous prime is 71556643. The next prime is 71556673. The reversal of 71556672 is 27665517.

It is a self number, because there is not a number n which added to its sum of digits gives 71556672.

It is not an unprimeable number, because it can be changed into a prime (71556673) 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 15 ways as a sum of consecutive naturals, for example, 34908 + ... + 36900.

Almost surely, 2^71556672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109398816).

71556672 is an abundant number, since it is smaller than the sum of its proper divisors (147240960).

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

71556672 is a wasteful number, since it uses less digits than its factorization.

71556672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2026 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 71556672 is about 8459.1176844870. The cubic root of 71556672 is about 415.1611548112.

The spelling of 71556672 in words is "seventy-one million, five hundred fifty-six thousand, six hundred seventy-two".