73872843642 has 96 divisors (see below), whose sum is σ = 178399877760. Its totient is φ = 22648429440.

The previous prime is 73872843559. The next prime is 73872843643. The reversal of 73872843642 is 24634827837.

It is a happy number.

73872843642 is a `hidden beast` number, since 73 + 87 + 28 + 436 + 42 = 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 (73872843643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2550003 + ... + 2578809.

It is an arithmetic number, because the mean of its divisors is an integer number (1858332060).

Almost surely, 2^73872843642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73872843642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89199938880).

73872843642 is an abundant number, since it is smaller than the sum of its proper divisors (104527034118).

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

73872843642 is a wasteful number, since it uses less digits than its factorization.

73872843642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29125 (or 29106 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 73872843642 in words is "seventy-three billion, eight hundred seventy-two million, eight hundred forty-three thousand, six hundred forty-two".