73077444 has 96 divisors (see below), whose sum is σ = 208656000. Its totient is φ = 21934080.

The previous prime is 73077437. The next prime is 73077461. The reversal of 73077444 is 44477037.

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

It is a junction number, because it is equal to n+sod(n) for n = 73077399 and 73077408.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162532 + ... + 162980.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^73077444 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 73077444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328000).

73077444 is an abundant number, since it is smaller than the sum of its proper divisors (135578556).

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

73077444 is a wasteful number, since it uses less digits than its factorization.

73077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 73077444 is about 8548.5346112653. The cubic root of 73077444 is about 418.0816595267.

The spelling of 73077444 in words is "seventy-three million, seventy-seven thousand, four hundred forty-four".