71900160 has 176 divisors, whose sum is σ = 238958592. Its totient is φ = 18432000.

The previous prime is 71900159. The next prime is 71900189. The reversal of 71900160 is 6100917.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71900160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476085 + ... + 476235.

Almost surely, 2^71900160 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 71900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119479296).

71900160 is an abundant number, since it is smaller than the sum of its proper divisors (167058432).

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

71900160 is a wasteful number, since it uses less digits than its factorization.

71900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 71900160 is about 8479.3962049193. The cubic root of 71900160 is about 415.8243834667.

The spelling of 71900160 in words is "seventy-one million, nine hundred thousand, one hundred sixty".