73305750 has 64 divisors (see below), whose sum is σ = 209124864. Its totient is φ = 16754400.

The previous prime is 73305737. The next prime is 73305763. The reversal of 73305750 is 5750337.

It is an interprime number because it is at equal distance from previous prime (73305737) and next prime (73305763).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1732 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (3267576).

Almost surely, 2^73305750 is an apocalyptic number.

73305750 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73305750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104562432).

73305750 is an abundant number, since it is smaller than the sum of its proper divisors (135819114).

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

73305750 is a wasteful number, since it uses less digits than its factorization.

73305750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13990 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 30.

The square root of 73305750 is about 8561.8777146138. The cubic root of 73305750 is about 418.5165922830.

The spelling of 73305750 in words is "seventy-three million, three hundred five thousand, seven hundred fifty".