73675116 has 48 divisors (see below), whose sum is σ = 193334400. Its totient is φ = 24259536.

The previous prime is 73675099. The next prime is 73675117. The reversal of 73675116 is 61157637.

It is a super-2 number, since 2×73675116² = 10856045435226912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (73675117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855 + ... + 13073.

It is an arithmetic number, because the mean of its divisors is an integer number (4027800).

Almost surely, 2^73675116 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 73675116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96667200).

73675116 is an abundant number, since it is smaller than the sum of its proper divisors (119659284).

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

73675116 is a wasteful number, since it uses less digits than its factorization.

73675116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8307 counting only the distinct ones).

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

The square root of 73675116 is about 8583.4209963161. The cubic root of 73675116 is about 419.2183420849.

The spelling of 73675116 in words is "seventy-three million, six hundred seventy-five thousand, one hundred sixteen".