73975104 has 126 divisors (see below), whose sum is σ = 246748554. Its totient is φ = 21127680.

The previous prime is 73975081. The next prime is 73975117. The reversal of 73975104 is 40157937.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 3415104 = 8400^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26914 + ... + 29534.

Almost surely, 2^73975104 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 73975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123374277).

73975104 is an abundant number, since it is smaller than the sum of its proper divisors (172773450).

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

73975104 is a wasteful number, since it uses less digits than its factorization.

73975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 73975104 is about 8600.8780947064. The cubic root of 73975104 is about 419.7865582151.

The spelling of 73975104 in words is "seventy-three million, nine hundred seventy-five thousand, one hundred four".