71924993976 has 128 divisors (see below), whose sum is σ = 203153448960. Its totient is φ = 21022934400.

The previous prime is 71924993971. The next prime is 71924993999. The reversal of 71924993976 is 67939942917.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71924993971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2498175 + ... + 2526801.

It is an arithmetic number, because the mean of its divisors is an integer number (1587136320).

Almost surely, 2^71924993976 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 71924993976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101576724480).

71924993976 is an abundant number, since it is smaller than the sum of its proper divisors (131228454984).

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

71924993976 is a wasteful number, since it uses less digits than its factorization.

71924993976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28985 (or 28981 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 66.

The spelling of 71924993976 in words is "seventy-one billion, nine hundred twenty-four million, nine hundred ninety-three thousand, nine hundred seventy-six".