71157120 has 64 divisors (see below), whose sum is σ = 226819440. Its totient is φ = 18974720.

The previous prime is 71157113. The next prime is 71157133. The reversal of 71157120 is 2175117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16611 + ... + 20450.

Almost surely, 2^71157120 is an apocalyptic number.

It is an amenable number.

71157120 is an abundant number, since it is smaller than the sum of its proper divisors (155662320).

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

71157120 is a wasteful number, since it uses less digits than its factorization.

71157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37083 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 71157120 is about 8435.4679775339. The cubic root of 71157120 is about 414.3869983945.

The spelling of 71157120 in words is "seventy-one million, one hundred fifty-seven thousand, one hundred twenty".