73792356352 has 288 divisors, whose sum is σ = 180387938304. Its totient is φ = 29727129600.

The previous prime is 73792356349. The next prime is 73792356353. The reversal of 73792356352 is 25365329737.

It is a Harshad number since it is a multiple of its sum of digits (52).

Its product of digits (7144200) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 73792356352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73792356353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581042113 + ... + 581042239.

It is an arithmetic number, because the mean of its divisors is an integer number (626347008).

Almost surely, 2^73792356352 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 73792356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90193969152).

73792356352 is an abundant number, since it is smaller than the sum of its proper divisors (106595581952).

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

73792356352 is a wasteful number, since it uses less digits than its factorization.

73792356352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 52.

The spelling of 73792356352 in words is "seventy-three billion, seven hundred ninety-two million, three hundred fifty-six thousand, three hundred fifty-two".