71251488 has 432 divisors, whose sum is σ = 282338784. Its totient is φ = 17418240.

The previous prime is 71251469. The next prime is 71251489. The reversal of 71251488 is 88415217.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17920) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71251489) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191256 + ... + 4191272.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^71251488 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 71251488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

71251488 is an abundant number, since it is smaller than the sum of its proper divisors (211087296).

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

71251488 is a wasteful number, since it uses less digits than its factorization.

71251488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 71251488 is about 8441.0596491199. The cubic root of 71251488 is about 414.5701030421.

The spelling of 71251488 in words is "seventy-one million, two hundred fifty-one thousand, four hundred eighty-eight".