73395104 has 48 divisors (see below), whose sum is σ = 150264576. Its totient is φ = 35251200.

The previous prime is 73395097. The next prime is 73395107. The reversal of 73395104 is 40159337.

It is a happy number.

It is a super-3 number, since 3×73395104³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (73395107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238919 + ... + 239225.

It is an arithmetic number, because the mean of its divisors is an integer number (3130512).

Almost surely, 2^73395104 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 73395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75132288).

73395104 is an abundant number, since it is smaller than the sum of its proper divisors (76869472).

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

73395104 is a wasteful number, since it uses less digits than its factorization.

73395104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 73395104 is about 8567.0942565143. The cubic root of 73395104 is about 418.6865696156.

The spelling of 73395104 in words is "seventy-three million, three hundred ninety-five thousand, one hundred four".