73802256000 has 768 divisors, whose sum is σ = 273764050560. Its totient is φ = 17571840000.

The previous prime is 73802255993. The next prime is 73802256007. The reversal of 73802256000 is 65220837.

It is an interprime number because it is at equal distance from previous prime (73802255993) and next prime (73802256007).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (73802256007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563375935 + ... + 563376065.

Almost surely, 2^73802256000 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 73802256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136882025280).

73802256000 is an abundant number, since it is smaller than the sum of its proper divisors (199961794560).

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

73802256000 is a wasteful number, since it uses less digits than its factorization.

73802256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 73802256000 its reverse (65220837), we get a palindrome (73867476837).

The spelling of 73802256000 in words is "seventy-three billion, eight hundred two million, two hundred fifty-six thousand".