73468008072 has 64 divisors (see below), whose sum is σ = 205377753600. Its totient is φ = 24333341760.

The previous prime is 73468008001. The next prime is 73468008077. The reversal of 73468008072 is 27080086437.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73468008077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049304 + ... + 1117127.

It is an arithmetic number, because the mean of its divisors is an integer number (3209027400).

Almost surely, 2^73468008072 is an apocalyptic number.

73468008072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73468008072 is an abundant number, since it is smaller than the sum of its proper divisors (131909745528).

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

73468008072 is a wasteful number, since it uses less digits than its factorization.

73468008072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166603 (or 2166593 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 73468008072 in words is "seventy-three billion, four hundred sixty-eight million, eight thousand, seventy-two".