71057952 has 192 divisors, whose sum is σ = 245145600. Its totient is φ = 19595520.

The previous prime is 71057941. The next prime is 71057957. The reversal of 71057952 is 25975017.

71057952 = T₄₁₃ + T₄₁₄ + ... + T₇₉₁.

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

It is not an unprimeable number, because it can be changed into a prime (71057957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187299 + ... + 187677.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^71057952 is an apocalyptic number.

71057952 is a gapful number since it is divisible by the number (72) 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 71057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

71057952 is an abundant number, since it is smaller than the sum of its proper divisors (174087648).

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

71057952 is a wasteful number, since it uses less digits than its factorization.

71057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 71057952 is about 8429.5878902827. The cubic root of 71057952 is about 414.1944056513.

The spelling of 71057952 in words is "seventy-one million, fifty-seven thousand, nine hundred fifty-two".