73673856 has 96 divisors (see below), whose sum is σ = 218949120. Its totient is φ = 23754240.

The previous prime is 73673839. The next prime is 73673861. The reversal of 73673856 is 65837637.

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

It is a congruent number.

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, 34681 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (2280720).

Almost surely, 2^73673856 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 73673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109474560).

73673856 is an abundant number, since it is smaller than the sum of its proper divisors (145275264).

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

73673856 is a wasteful number, since it uses less digits than its factorization.

73673856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2099 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 73673856 is about 8583.3475986936. The cubic root of 73673856 is about 419.2159522317.

It can be divided in two parts, 73673 and 856, that added together give a square (74529 = 273²).

The spelling of 73673856 in words is "seventy-three million, six hundred seventy-three thousand, eight hundred fifty-six".