73824761472 has 128 divisors (see below), whose sum is σ = 244484697600. Its totient is φ = 19175255040.

The previous prime is 73824761453. The next prime is 73824761501. The reversal of 73824761472 is 27416742837.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1218822 + ... + 1277957.

It is an arithmetic number, because the mean of its divisors is an integer number (1910036700).

Almost surely, 2^73824761472 is an apocalyptic number.

It is an amenable number.

73824761472 is an abundant number, since it is smaller than the sum of its proper divisors (170659936128).

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

73824761472 is a wasteful number, since it uses less digits than its factorization.

73824761472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496814 (or 2496802 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 51.

The spelling of 73824761472 in words is "seventy-three billion, eight hundred twenty-four million, seven hundred sixty-one thousand, four hundred seventy-two".