71954160 has 80 divisors (see below), whose sum is σ = 224476704. Its totient is φ = 19065856.

The previous prime is 71954153. The next prime is 71954161. The reversal of 71954160 is 6145917.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×71954160² = 10354802282611200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71954161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40654 + ... + 42386.

Almost surely, 2^71954160 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 71954160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112238352).

71954160 is an abundant number, since it is smaller than the sum of its proper divisors (152522544).

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

71954160 is a wasteful number, since it uses less digits than its factorization.

71954160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 71954160 is about 8482.5797962648. The cubic root of 71954160 is about 415.9284578648.

The spelling of 71954160 in words is "seventy-one million, nine hundred fifty-four thousand, one hundred sixty".