73456000 has 64 divisors (see below), whose sum is σ = 182669760. Its totient is φ = 29376000.

The previous prime is 73455983. The next prime is 73456013. The reversal of 73456000 is 65437.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13705 + ... + 18295.

It is an arithmetic number, because the mean of its divisors is an integer number (2854215).

Almost surely, 2^73456000 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 73456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91334880).

73456000 is an abundant number, since it is smaller than the sum of its proper divisors (109213760).

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

73456000 is an equidigital number, since it uses as much as digits as its factorization.

73456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 73456000 is about 8570.6475834677. The cubic root of 73456000 is about 418.8023325106.

The spelling of 73456000 in words is "seventy-three million, four hundred fifty-six thousand".