73964000 has 144 divisors (see below), whose sum is σ = 203203728. Its totient is φ = 26240000.

The previous prime is 73963973. The next prime is 73964003. The reversal of 73964000 is 46937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73964003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1803980 + ... + 1804020.

It is an arithmetic number, because the mean of its divisors is an integer number (1411137).

Almost surely, 2^73964000 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 73964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101601864).

73964000 is an abundant number, since it is smaller than the sum of its proper divisors (129239728).

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

73964000 is a wasteful number, since it uses less digits than its factorization.

73964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 73964000 is about 8600.2325549952. The cubic root of 73964000 is about 419.7655532060.

The spelling of 73964000 in words is "seventy-three million, nine hundred sixty-four thousand".