71407644 has 96 divisors (see below), whose sum is σ = 209932800. Its totient is φ = 18351360.

The previous prime is 71407619. The next prime is 71407717. The reversal of 71407644 is 44670417.

It is a super-3 number, since 3×71407644³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100362 + ... + 101070.

It is an arithmetic number, because the mean of its divisors is an integer number (2186800).

Almost surely, 2^71407644 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 71407644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104966400).

71407644 is an abundant number, since it is smaller than the sum of its proper divisors (138525156).

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

71407644 is a wasteful number, since it uses less digits than its factorization.

71407644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 71407644 is about 8450.3043732164. The cubic root of 71407644 is about 414.8727417423.

The spelling of 71407644 in words is "seventy-one million, four hundred seven thousand, six hundred forty-four".