73200375 has 96 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 36432000.

The previous prime is 73200353. The next prime is 73200377. The reversal of 73200375 is 57300237.

It is not a de Polignac number, because 73200375 - 2¹³ = 73192183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73200377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1785355 + ... + 1785395.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690).

Almost surely, 2^73200375 is an apocalyptic number.

73200375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73200375 is a deficient number, since it is larger than the sum of its proper divisors (71729865).

73200375 is a wasteful number, since it uses less digits than its factorization.

73200375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 73200375 is about 8555.7217696697. The cubic root of 73200375 is about 418.3159607536.

The spelling of 73200375 in words is "seventy-three million, two hundred thousand, three hundred seventy-five".