73835672081472 has 448 divisors, whose sum is σ = 263184900096000. Its totient is φ = 19828220719104.

The previous prime is 73835672081299. The next prime is 73835672081489. The reversal of 73835672081472 is 27418027653837.

It is a happy number.

73835672081472 is a `hidden beast` number, since 7 + 3 + 8 + 3 + 5 + 67 + 20 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27922804 + ... + 30452492.

Almost surely, 2^{73835672081472} is an apocalyptic number.

73835672081472 is a gapful number since it is divisible by the number (72) 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 73835672081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131592450048000).

73835672081472 is an abundant number, since it is smaller than the sum of its proper divisors (189349228014528).

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

73835672081472 is a wasteful number, since it uses less digits than its factorization.

73835672081472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529863 (or 2529847 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 73835672081472 in words is "seventy-three trillion, eight hundred thirty-five billion, six hundred seventy-two million, eighty-one thousand, four hundred seventy-two".