73516462272 has 448 divisors, whose sum is σ = 249477580800. Its totient is φ = 20995200000.

The previous prime is 73516462249. The next prime is 73516462309. The reversal of 73516462272 is 27226461537.

73516462272 is a `hidden beast` number, since 7 + 3 + 5 + 16 + 4 + 622 + 7 + 2 = 666.

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, 90648747 + ... + 90649557.

It is an arithmetic number, because the mean of its divisors is an integer number (556869600).

Almost surely, 2^73516462272 is an apocalyptic number.

73516462272 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 73516462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124738790400).

73516462272 is an abundant number, since it is smaller than the sum of its proper divisors (175961118528).

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

73516462272 is a wasteful number, since it uses less digits than its factorization.

73516462272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 73516462272 in words is "seventy-three billion, five hundred sixteen million, four hundred sixty-two thousand, two hundred seventy-two".