73699920 has 180 divisors, whose sum is σ = 288056340. Its totient is φ = 16837632.

The previous prime is 73699907. The next prime is 73699931. The reversal of 73699920 is 2999637.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 26255376 = 6888^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

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, 34236 + ... + 36324.

It is an arithmetic number, because the mean of its divisors is an integer number (1600313).

Almost surely, 2^73699920 is an apocalyptic number.

73699920 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 73699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144028170).

73699920 is an abundant number, since it is smaller than the sum of its proper divisors (214356420).

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

73699920 is a wasteful number, since it uses less digits than its factorization.

73699920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 73699920 is about 8584.8657531728. The cubic root of 73699920 is about 419.2653825042.

The spelling of 73699920 in words is "seventy-three million, six hundred ninety-nine thousand, nine hundred twenty".