73673316 has 36 divisors (see below), whose sum is σ = 186710524. Its totient is φ = 24494400.

The previous prime is 73673309. The next prime is 73673323. The reversal of 73673316 is 61337637.

It is an interprime number because it is at equal distance from previous prime (73673309) and next prime (73673323).

It can be written as a sum of positive squares in 2 ways, for example, as 28836900 + 44836416 = 5370^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

Its product of digits (47628) is a multiple of the sum of its prime factors (5292).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12726 + ... + 17586.

Almost surely, 2^73673316 is an apocalyptic number.

It is an amenable number.

73673316 is an abundant number, since it is smaller than the sum of its proper divisors (113037208).

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

73673316 is a wasteful number, since it uses less digits than its factorization.

73673316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5287 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 73673316 is about 8583.3161423776. The cubic root of 73673316 is about 419.2149280006.

The spelling of 73673316 in words is "seventy-three million, six hundred seventy-three thousand, three hundred sixteen".