73705440 has 96 divisors (see below), whose sum is σ = 237638016. Its totient is φ = 19192320.

The previous prime is 73705391. The next prime is 73705451. The reversal of 73705440 is 4450737.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73705398 and 73705407.

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, 18855 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (2475396).

Almost surely, 2^73705440 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 73705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118819008).

73705440 is an abundant number, since it is smaller than the sum of its proper divisors (163932576).

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

73705440 is a wasteful number, since it uses less digits than its factorization.

73705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 73705440 is about 8585.1872431532. The cubic root of 73705440 is about 419.2758496668.

The spelling of 73705440 in words is "seventy-three million, seven hundred five thousand, four hundred forty".