73187422371840 has 1344 divisors, whose sum is σ = 283570785533952. Its totient is φ = 15763872153600.

The previous prime is 73187422371781. The next prime is 73187422371857. The reversal of 73187422371840 is 4817322478137.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×73187422371840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 139937709819 + ... + 139937710341.

It is an arithmetic number, because the mean of its divisors is an integer number (210990167808).

Almost surely, 2^{73187422371840} is an apocalyptic number.

73187422371840 is a gapful number since it is divisible by the number (70) 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 73187422371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141785392766976).

73187422371840 is an abundant number, since it is smaller than the sum of its proper divisors (210383363162112).

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

73187422371840 is an frugal number, since it uses more digits than its factorization.

73187422371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 73187422371840 in words is "seventy-three trillion, one hundred eighty-seven billion, four hundred twenty-two million, three hundred seventy-one thousand, eight hundred forty".