73956000 has 96 divisors (see below), whose sum is σ = 242319168. Its totient is φ = 19718400.

The previous prime is 73955989. The next prime is 73956011. The reversal of 73956000 is 65937.

It is an interprime number because it is at equal distance from previous prime (73955989) and next prime (73956011).

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 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 15 ways as a sum of consecutive naturals, for example, 8919 + ... + 15081.

It is an arithmetic number, because the mean of its divisors is an integer number (2524158).

Almost surely, 2^73956000 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 73956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121159584).

73956000 is an abundant number, since it is smaller than the sum of its proper divisors (168363168).

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

73956000 is a wasteful number, since it uses less digits than its factorization.

73956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 73956000 is about 8599.7674387160. The cubic root of 73956000 is about 419.7504186112.

The spelling of 73956000 in words is "seventy-three million, nine hundred fifty-six thousand".