73203668832 has 384 divisors, whose sum is σ = 236192882688. Its totient is φ = 19408896000.

The previous prime is 73203668831. The next prime is 73203668887. The reversal of 73203668832 is 23886630237.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73203668831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56266582 + ... + 56267882.

It is an arithmetic number, because the mean of its divisors is an integer number (615085632).

Almost surely, 2^73203668832 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 73203668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118096441344).

73203668832 is an abundant number, since it is smaller than the sum of its proper divisors (162989213856).

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

73203668832 is a wasteful number, since it uses less digits than its factorization.

73203668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 73203668832 in words is "seventy-three billion, two hundred three million, six hundred sixty-eight thousand, eight hundred thirty-two".