73673440 has 96 divisors (see below), whose sum is σ = 181367424. Its totient is φ = 28262400.

The previous prime is 73673437. The next prime is 73673489. The reversal of 73673440 is 4437637.

It is a super-2 number, since 2×73673440² = 10855551522867200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73673396 and 73673405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729390 + ... + 729490.

It is an arithmetic number, because the mean of its divisors is an integer number (1889244).

Almost surely, 2^73673440 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 73673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683712).

73673440 is an abundant number, since it is smaller than the sum of its proper divisors (107693984).

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

73673440 is a wasteful number, since it uses less digits than its factorization.

73673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 73673440 is about 8583.3233656900. The cubic root of 73673440 is about 419.2151631949.

The spelling of 73673440 in words is "seventy-three million, six hundred seventy-three thousand, four hundred forty".