71893729440 has 192 divisors, whose sum is σ = 270984268800. Its totient is φ = 17696904192.

The previous prime is 71893729421. The next prime is 71893729517. The reversal of 71893729440 is 4492739817.

71893729440 is a `hidden beast` number, since 7 + 189 + 372 + 94 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583920 + ... + 696239.

It is an arithmetic number, because the mean of its divisors is an integer number (1411376400).

Almost surely, 2^71893729440 is an apocalyptic number.

It is an amenable number.

71893729440 is an abundant number, since it is smaller than the sum of its proper divisors (199090539360).

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

71893729440 is a wasteful number, since it uses less digits than its factorization.

71893729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280196 (or 1280182 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 71893729440 in words is "seventy-one billion, eight hundred ninety-three million, seven hundred twenty-nine thousand, four hundred forty".