71951791296 has 1344 divisors, whose sum is σ = 278867128320. Its totient is φ = 16094453760.

The previous prime is 71951791291. The next prime is 71951791313. The reversal of 71951791296 is 69219715917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×71951791296³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (2143260) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (71951791291) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1673297451 + ... + 1673297493.

Almost surely, 2^71951791296 is an apocalyptic number.

71951791296 is a gapful number since it is divisible by the number (76) 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 71951791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139433564160).

71951791296 is an abundant number, since it is smaller than the sum of its proper divisors (206915337024).

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

71951791296 is a wasteful number, since it uses less digits than its factorization.

71951791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 57.

The spelling of 71951791296 in words is "seventy-one billion, nine hundred fifty-one million, seven hundred ninety-one thousand, two hundred ninety-six".