73904544 has 108 divisors (see below), whose sum is σ = 244525554. Its totient is φ = 21111552.

The previous prime is 73904533. The next prime is 73904549. The reversal of 73904544 is 44540937.

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 22924944 = 7140^2 + 4788^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 73904499 and 73904508.

It is not an unprimeable number, because it can be changed into a prime (73904549) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11494 + ... + 16730.

Almost surely, 2^73904544 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 73904544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122262777).

73904544 is an abundant number, since it is smaller than the sum of its proper divisors (170621010).

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

73904544 is a wasteful number, since it uses less digits than its factorization.

73904544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 73904544 is about 8596.7752093445. The cubic root of 73904544 is about 419.6530468015.

The spelling of 73904544 in words is "seventy-three million, nine hundred four thousand, five hundred forty-four".