71976840 has 256 divisors, whose sum is σ = 252806400. Its totient is φ = 16257024.

The previous prime is 71976791. The next prime is 71976851. The reversal of 71976840 is 4867917.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71976792 and 71976801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1673859 + ... + 1673901.

It is an arithmetic number, because the mean of its divisors is an integer number (987525).

Almost surely, 2^71976840 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 71976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

71976840 is an abundant number, since it is smaller than the sum of its proper divisors (180829560).

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

71976840 is a wasteful number, since it uses less digits than its factorization.

71976840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 71976840 is about 8483.9165483873. The cubic root of 71976840 is about 415.9721535848.

The spelling of 71976840 in words is "seventy-one million, nine hundred seventy-six thousand, eight hundred forty".