71672992992 has 384 divisors, whose sum is σ = 221037465600. Its totient is φ = 22566297600.

The previous prime is 71672992973. The next prime is 71672992999. The reversal of 71672992992 is 29929927617.

It is a super-2 number, since 2×71672992992² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71672992999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255063892 + ... + 255064172.

It is an arithmetic number, because the mean of its divisors is an integer number (575618400).

Almost surely, 2^71672992992 is an apocalyptic number.

71672992992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71672992992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110518732800).

71672992992 is an abundant number, since it is smaller than the sum of its proper divisors (149364472608).

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

71672992992 is a wasteful number, since it uses less digits than its factorization.

71672992992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 71672992992 in words is "seventy-one billion, six hundred seventy-two million, nine hundred ninety-two thousand, nine hundred ninety-two".