71407700 has 216 divisors, whose sum is σ = 207799200. Its totient is φ = 21047040.

The previous prime is 71407619. The next prime is 71407717. The reversal of 71407700 is 770417.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 71407700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1210271 + ... + 1210329.

Almost surely, 2^71407700 is an apocalyptic number.

71407700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71407700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

71407700 is an abundant number, since it is smaller than the sum of its proper divisors (136391500).

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

71407700 is a wasteful number, since it uses less digits than its factorization.

71407700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 71407700 is about 8450.3076867059. The cubic root of 71407700 is about 414.8728501941.

It can be divided in two parts, 71407 and 700, that multiplied together give a square (49984900 = 7070²).

The spelling of 71407700 in words is "seventy-one million, four hundred seven thousand, seven hundred".