71617248 has 72 divisors (see below), whose sum is σ = 205241400. Its totient is φ = 23687424.

The previous prime is 71617241. The next prime is 71617261. The reversal of 71617248 is 84271617.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×71617248² = 10258060422187008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71617241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39138 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (2850575).

Almost surely, 2^71617248 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 71617248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102620700).

71617248 is an abundant number, since it is smaller than the sum of its proper divisors (133624152).

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

71617248 is a wasteful number, since it uses less digits than its factorization.

71617248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1933 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 71617248 is about 8462.6974423053. The cubic root of 71617248 is about 415.2782727459.

The spelling of 71617248 in words is "seventy-one million, six hundred seventeen thousand, two hundred forty-eight".