73861044075 has 384 divisors, whose sum is σ = 174922137600. Its totient is φ = 29719872000.

The previous prime is 73861044071. The next prime is 73861044079. The reversal of 73861044075 is 57044016837.

It is an interprime number because it is at equal distance from previous prime (73861044071) and next prime (73861044079).

It is not a de Polignac number, because 73861044075 - 2² = 73861044071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 73861044075.

It is not an unprimeable number, because it can be changed into a prime (73861044071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150429580 + ... + 150430070.

It is an arithmetic number, because the mean of its divisors is an integer number (455526400).

Almost surely, 2^73861044075 is an apocalyptic number.

73861044075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73861044075 is an abundant number, since it is smaller than the sum of its proper divisors (101061093525).

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

73861044075 is a wasteful number, since it uses less digits than its factorization.

73861044075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 73861044075 in words is "seventy-three billion, eight hundred sixty-one million, forty-four thousand, seventy-five".