73832080 has 80 divisors (see below), whose sum is σ = 202558464. Its totient is φ = 24491520.

The previous prime is 73832063. The next prime is 73832089. The reversal of 73832080 is 8023837.

73832080 = 786² + 787² + ... + 890².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (73832089) 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, 15234 + ... + 19486.

Almost surely, 2^73832080 is an apocalyptic number.

73832080 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 73832080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101279232).

73832080 is an abundant number, since it is smaller than the sum of its proper divisors (128726384).

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

73832080 is a wasteful number, since it uses less digits than its factorization.

73832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 73832080 is about 8592.5595720949. The cubic root of 73832080 is about 419.5158442194.

The spelling of 73832080 in words is "seventy-three million, eight hundred thirty-two thousand, eighty".