73732942080 has 324 divisors, whose sum is σ = 296760905532. Its totient is φ = 16853114880.

The previous prime is 73732942051. The next prime is 73732942109. The reversal of 73732942080 is 8024923737.

It is an interprime number because it is at equal distance from previous prime (73732942051) and next prime (73732942109).

It can be written as a sum of positive squares in 2 ways, for example, as 8352497664 + 65380444416 = 91392^2 + 255696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499170 + ... + 629790.

Almost surely, 2^73732942080 is an apocalyptic number.

73732942080 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 73732942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148380452766).

73732942080 is an abundant number, since it is smaller than the sum of its proper divisors (223027963452).

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

73732942080 is a wasteful number, since it uses less digits than its factorization.

73732942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130662 (or 130638 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73732942080 in words is "seventy-three billion, seven hundred thirty-two million, nine hundred forty-two thousand, eighty".