71457936 has 160 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 19261440.

The previous prime is 71457913. The next prime is 71457961. The reversal of 71457936 is 63975417.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170335 + ... + 170753.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^71457936 is an apocalyptic number.

71457936 is a gapful number since it is divisible by the number (76) 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 71457936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

71457936 is an abundant number, since it is smaller than the sum of its proper divisors (153527664).

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

71457936 is a wasteful number, since it uses less digits than its factorization.

71457936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 71457936 is about 8453.2796002498. The cubic root of 71457936 is about 414.9701163946.

The spelling of 71457936 in words is "seventy-one million, four hundred fifty-seven thousand, nine hundred thirty-six".