71975904 has 288 divisors, whose sum is σ = 260620416. Its totient is φ = 17095680.

The previous prime is 71975903. The next prime is 71975927. The reversal of 71975904 is 40957917.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71975903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672619 + ... + 672725.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^71975904 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 71975904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208).

71975904 is an abundant number, since it is smaller than the sum of its proper divisors (188644512).

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

71975904 is a wasteful number, since it uses less digits than its factorization.

71975904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 71975904 is about 8483.8613850062. The cubic root of 71975904 is about 415.9703504509.

The spelling of 71975904 in words is "seventy-one million, nine hundred seventy-five thousand, nine hundred four".