73729753632 has 192 divisors, whose sum is σ = 218775553920. Its totient is φ = 24455208960.

The previous prime is 73729753597. The next prime is 73729753637. The reversal of 73729753632 is 23635792737.

73729753632 is a `hidden beast` number, since 7 + 3 + 72 + 9 + 7 + 536 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73729753637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14764128 + ... + 14769120.

It is an arithmetic number, because the mean of its divisors is an integer number (1139456010).

Almost surely, 2^73729753632 is an apocalyptic number.

73729753632 is a gapful number since it is divisible by the number (72) 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 73729753632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109387776960).

73729753632 is an abundant number, since it is smaller than the sum of its proper divisors (145045800288).

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

73729753632 is an equidigital number, since it uses as much as digits as its factorization.

73729753632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5209 counting only the distinct ones).

The product of its digits is 10001880, while the sum is 54.

The spelling of 73729753632 in words is "seventy-three billion, seven hundred twenty-nine million, seven hundred fifty-three thousand, six hundred thirty-two".