71676528000 has 1536 divisors, whose sum is σ = 312873200640. Its totient is φ = 14192640000.

The previous prime is 71676527947. The next prime is 71676528127. The reversal of 71676528000 is 82567617.

It is a super-2 number, since 2×71676528000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1666895979 + ... + 1666896021.

It is an arithmetic number, because the mean of its divisors is an integer number (203693490).

Almost surely, 2^71676528000 is an apocalyptic number.

71676528000 is a gapful number since it is divisible by the number (70) 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 71676528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156436600320).

71676528000 is an abundant number, since it is smaller than the sum of its proper divisors (241196672640).

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

71676528000 is a wasteful number, since it uses less digits than its factorization.

71676528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 71676528000 in words is "seventy-one billion, six hundred seventy-six million, five hundred twenty-eight thousand".