71825156026728 has 128 divisors (see below), whose sum is σ = 194662070225280. Its totient is φ = 21953337753600.

The previous prime is 71825156026681. The next prime is 71825156026769. The reversal of 71825156026728 is 82762065152817.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40254328 + ... + 42000728.

It is an arithmetic number, because the mean of its divisors is an integer number (1520797423635).

Almost surely, 2^{71825156026728} is an apocalyptic number.

71825156026728 is a gapful number since it is divisible by the number (78) 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 71825156026728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97331035112640).

71825156026728 is an abundant number, since it is smaller than the sum of its proper divisors (122836914198552).

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

71825156026728 is a wasteful number, since it uses less digits than its factorization.

71825156026728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747299 (or 1747295 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 71825156026728 in words is "seventy-one trillion, eight hundred twenty-five billion, one hundred fifty-six million, twenty-six thousand, seven hundred twenty-eight".