71976640 has 112 divisors (see below), whose sum is σ = 184672224. Its totient is φ = 26624000.

The previous prime is 71976601. The next prime is 71976643. The reversal of 71976640 is 4667917.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 71976593 and 71976602.

It is not an unprimeable number, because it can be changed into a prime (71976643) 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, 549375 + ... + 549505.

Almost surely, 2^71976640 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 71976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92336112).

71976640 is an abundant number, since it is smaller than the sum of its proper divisors (112695584).

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

71976640 is a wasteful number, since it uses less digits than its factorization.

71976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 71976640 is about 8483.9047613702. The cubic root of 71976640 is about 415.9717683011.

The spelling of 71976640 in words is "seventy-one million, nine hundred seventy-six thousand, six hundred forty".