73227727440 has 240 divisors, whose sum is σ = 281222143488. Its totient is φ = 16727814144.

The previous prime is 73227727403. The next prime is 73227727483. The reversal of 73227727440 is 4472772237.

73227727440 is a `hidden beast` number, since 73 + 2 + 277 + 274 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11523304 + ... + 11529656.

Almost surely, 2^73227727440 is an apocalyptic number.

73227727440 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 73227727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140611071744).

73227727440 is an abundant number, since it is smaller than the sum of its proper divisors (207994416048).

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

73227727440 is a wasteful number, since it uses less digits than its factorization.

73227727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 45.

The spelling of 73227727440 in words is "seventy-three billion, two hundred twenty-seven million, seven hundred twenty-seven thousand, four hundred forty".