71129520 has 240 divisors, whose sum is σ = 298052352. Its totient is φ = 14768640.

The previous prime is 71129491. The next prime is 71129537. The reversal of 71129520 is 2592117.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54799 + ... + 56081.

Almost surely, 2^71129520 is an apocalyptic number.

71129520 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 71129520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149026176).

71129520 is an abundant number, since it is smaller than the sum of its proper divisors (226922832).

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

71129520 is a wasteful number, since it uses less digits than its factorization.

71129520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71129520 is about 8433.8318693225. The cubic root of 71129520 is about 414.3334148122. Note that the first 3 decimals are identical.

The spelling of 71129520 in words is "seventy-one million, one hundred twenty-nine thousand, five hundred twenty".