73073000 has 256 divisors, whose sum is σ = 232727040. Its totient is φ = 20736000.

The previous prime is 73072997. The next prime is 73073009. The reversal of 73073000 is 37037.

73073000 = T₁₃₃₉ + T₁₃₄₀ + ... + T₁₄₁₅.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73073009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000964 + ... + 1001036.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 2^73073000 is an apocalyptic number.

73073000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

73073000 is an abundant number, since it is smaller than the sum of its proper divisors (159654040).

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

73073000 is a wasteful number, since it uses less digits than its factorization.

73073000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 73073000 is about 8548.2746797234. The cubic root of 73073000 is about 418.0731845333.

It can be divided in two parts, 730 and 73000, that multiplied together give a square (53290000 = 7300²).

The spelling of 73073000 in words is "seventy-three million, seventy-three thousand".