73495812672 has 336 divisors, whose sum is σ = 228662179200. Its totient is φ = 23375278080.

The previous prime is 73495812671. The next prime is 73495812707. The reversal of 73495812672 is 27621859437.

It is a happy number.

73495812672 is a `hidden beast` number, since 7 + 3 + 495 + 81 + 2 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73495812671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40138797 + ... + 40140627.

It is an arithmetic number, because the mean of its divisors is an integer number (680542200).

Almost surely, 2^73495812672 is an apocalyptic number.

73495812672 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 73495812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114331089600).

73495812672 is an abundant number, since it is smaller than the sum of its proper divisors (155166366528).

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

73495812672 is a wasteful number, since it uses less digits than its factorization.

73495812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1954 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 73495812672 in words is "seventy-three billion, four hundred ninety-five million, eight hundred twelve thousand, six hundred seventy-two".