73871131776 has 512 divisors, whose sum is σ = 231294873600. Its totient is φ = 20694859776.

The previous prime is 73871131759. The next prime is 73871131777. The reversal of 73871131776 is 67713117837.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73871131777) 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, 325423375 + ... + 325423601.

It is an arithmetic number, because the mean of its divisors is an integer number (451747800).

Almost surely, 2^73871131776 is an apocalyptic number.

73871131776 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 73871131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115647436800).

73871131776 is an abundant number, since it is smaller than the sum of its proper divisors (157423741824).

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

73871131776 is a wasteful number, since it uses less digits than its factorization.

73871131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 51.

The spelling of 73871131776 in words is "seventy-three billion, eight hundred seventy-one million, one hundred thirty-one thousand, seven hundred seventy-six".