73738812672 has 648 divisors, whose sum is σ = 271756308096. Its totient is φ = 19814989824.

The previous prime is 73738812661. The next prime is 73738812673. The reversal of 73738812672 is 27621883737.

It is a happy number.

73738812672 is a `hidden beast` number, since 7 + 373 + 8 + 8 + 1 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73738812673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51818553 + ... + 51819975.

Almost surely, 2^73738812672 is an apocalyptic number.

73738812672 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 73738812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135878154048).

73738812672 is an abundant number, since it is smaller than the sum of its proper divisors (198017495424).

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

73738812672 is a wasteful number, since it uses less digits than its factorization.

73738812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1452 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 73738812672 in words is "seventy-three billion, seven hundred thirty-eight million, eight hundred twelve thousand, six hundred seventy-two".