71611904 has 160 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 26836992.

The previous prime is 71611877. The next prime is 71611907. The reversal of 71611904 is 40911617.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71611907) 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, 1351142 + ... + 1351194.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^71611904 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 71611904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

71611904 is an abundant number, since it is smaller than the sum of its proper divisors (114001216).

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

71611904 is a wasteful number, since it uses less digits than its factorization.

71611904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 71611904 is about 8462.3816978437. The cubic root of 71611904 is about 415.2679432868.

The spelling of 71611904 in words is "seventy-one million, six hundred eleven thousand, nine hundred four".