71726976 has 192 divisors, whose sum is σ = 226746000. Its totient is φ = 21676032.

The previous prime is 71726971. The next prime is 71726981. The reversal of 71726976 is 67962717.

It is an interprime number because it is at equal distance from previous prime (71726971) and next prime (71726981).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×71726976² = 10289518172209152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71726971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634696 + ... + 634808.

Almost surely, 2^71726976 is an apocalyptic number.

71726976 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 71726976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113373000).

71726976 is an abundant number, since it is smaller than the sum of its proper divisors (155019024).

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

71726976 is a wasteful number, since it uses less digits than its factorization.

71726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 71726976 is about 8469.1780002548. The cubic root of 71726976 is about 415.4902533478.

The spelling of 71726976 in words is "seventy-one million, seven hundred twenty-six thousand, nine hundred seventy-six".