73904616 has 128 divisors (see below), whose sum is σ = 214896000. Its totient is φ = 23514624.

The previous prime is 73904569. The next prime is 73904641. The reversal of 73904616 is 61640937.

73904616 is a `hidden beast` number, since 7 + 39 + 0 + 4 + 616 = 666.

It is a super-2 number, since 2×73904616² = 10923784532214912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677970 + ... + 678078.

It is an arithmetic number, because the mean of its divisors is an integer number (1678875).

Almost surely, 2^73904616 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 73904616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107448000).

73904616 is an abundant number, since it is smaller than the sum of its proper divisors (140991384).

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

73904616 is a wasteful number, since it uses less digits than its factorization.

73904616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73904616 is about 8596.7793969602. The cubic root of 73904616 is about 419.6531830809.

The spelling of 73904616 in words is "seventy-three million, nine hundred four thousand, six hundred sixteen".