73729656000 has 2688 divisors, whose sum is σ = 377753026560. Its totient is φ = 13685760000.

The previous prime is 73729655981. The next prime is 73729656001. The reversal of 73729656000 is 65692737.

73729656000 is a `hidden beast` number, since 7 + 37 + 2 + 9 + 6 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73729656001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2378375985 + ... + 2378376015.

It is an arithmetic number, because the mean of its divisors is an integer number (140533120).

Almost surely, 2^73729656000 is an apocalyptic number.

73729656000 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 73729656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188876513280).

73729656000 is an abundant number, since it is smaller than the sum of its proper divisors (304023370560).

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

73729656000 is a wasteful number, since it uses less digits than its factorization.

73729656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 73729656000 in words is "seventy-three billion, seven hundred twenty-nine million, six hundred fifty-six thousand".