73225283040 has 960 divisors, whose sum is σ = 329181874560. Its totient is φ = 14910013440.

The previous prime is 73225283039. The next prime is 73225283059. The reversal of 73225283040 is 4038252237.

73225283040 is a `hidden beast` number, since 7 + 322 + 5 + 28 + 304 + 0 = 666.

It is a super-2 number, since 2×73225283040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73225282986 and 73225283004.

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 159 ways as a sum of consecutive naturals, for example, 34200370 + ... + 34202510.

It is an arithmetic number, because the mean of its divisors is an integer number (342897786).

Almost surely, 2^73225283040 is an apocalyptic number.

73225283040 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 73225283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164590937280).

73225283040 is an abundant number, since it is smaller than the sum of its proper divisors (255956591520).

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

73225283040 is a wasteful number, since it uses less digits than its factorization.

73225283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 73225283040 in words is "seventy-three billion, two hundred twenty-five million, two hundred eighty-three thousand, forty".