71420688 has 60 divisors (see below), whose sum is σ = 204770748. Its totient is φ = 23224320.

The previous prime is 71420663. The next prime is 71420711. The reversal of 71420688 is 88602417.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 68757264 = 1632^2 + 8292^2 .

It is a super-3 number, since 3×71420688³ (a number of 25 digits) contains 333 as substring.

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, 145 + ... + 11952.

Almost surely, 2^71420688 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 71420688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102385374).

71420688 is an abundant number, since it is smaller than the sum of its proper divisors (133350060).

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

71420688 is a wasteful number, since it uses less digits than its factorization.

71420688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 71420688 is about 8451.0761444919. The cubic root of 71420688 is about 414.8980017390.

The spelling of 71420688 in words is "seventy-one million, four hundred twenty thousand, six hundred eighty-eight".