73225439040 has 448 divisors, whose sum is σ = 258446893824. Its totient is φ = 17448763392.

The previous prime is 73225439029. The next prime is 73225439069. The reversal of 73225439040 is 4093452237.

It is a super-2 number, since 2×73225439040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 73225439040.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 160230492 + ... + 160230948.

It is an arithmetic number, because the mean of its divisors is an integer number (576890388).

Almost surely, 2^73225439040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73225439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129223446912).

73225439040 is an abundant number, since it is smaller than the sum of its proper divisors (185221454784).

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

73225439040 is a wasteful number, since it uses less digits than its factorization.

73225439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 73225439040 in words is "seventy-three billion, two hundred twenty-five million, four hundred thirty-nine thousand, forty".