73555722240 has 1440 divisors, whose sum is σ = 331574777856. Its totient is φ = 13495173120.

The previous prime is 73555722211. The next prime is 73555722259. The reversal of 73555722240 is 4222755537.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73555722192 and 73555722201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3198074869 + ... + 3198074891.

Almost surely, 2^73555722240 is an apocalyptic number.

73555722240 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 73555722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165787388928).

73555722240 is an abundant number, since it is smaller than the sum of its proper divisors (258019055616).

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

73555722240 is a wasteful number, since it uses less digits than its factorization.

73555722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The spelling of 73555722240 in words is "seventy-three billion, five hundred fifty-five million, seven hundred twenty-two thousand, two hundred forty".