71429536 has 96 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 31933440.

The previous prime is 71429489. The next prime is 71429537. The reversal of 71429536 is 63592417.

It is a super-3 number, since 3×71429536³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 71429495 and 71429504.

It is not an unprimeable number, because it can be changed into a prime (71429537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170946 + ... + 1171006.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^71429536 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 71429536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

71429536 is an abundant number, since it is smaller than the sum of its proper divisors (85310432).

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

71429536 is a wasteful number, since it uses less digits than its factorization.

71429536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 71429536 is about 8451.5996119078. The cubic root of 71429536 is about 414.9151343376.

The spelling of 71429536 in words is "seventy-one million, four hundred twenty-nine thousand, five hundred thirty-six".