71949120 has 112 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 19019776.

The previous prime is 71949103. The next prime is 71949133. The reversal of 71949120 is 2194917.

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 15 ways as a sum of consecutive naturals, for example, 142789 + ... + 143291.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^71949120 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 71949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

71949120 is an abundant number, since it is smaller than the sum of its proper divisors (158479680).

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

71949120 is a wasteful number, since it uses less digits than its factorization.

71949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 71949120 is about 8482.2827116290. The cubic root of 71949120 is about 415.9187464579.

The spelling of 71949120 in words is "seventy-one million, nine hundred forty-nine thousand, one hundred twenty".