72753000 has 64 divisors (see below), whose sum is σ = 226998720. Its totient is φ = 19400000.

The previous prime is 72752993. The next prime is 72753067. The reversal of 72753000 is 35727.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9126 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (3546855).

Almost surely, 2^72753000 is an apocalyptic number.

It is an amenable number.

72753000 is an abundant number, since it is smaller than the sum of its proper divisors (154245720).

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

72753000 is a wasteful number, since it uses less digits than its factorization.

72753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24275 (or 24261 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 72753000 is about 8529.5369159175. The cubic root of 72753000 is about 417.4620186085.

Adding to 72753000 its reverse (35727), we get a palindrome (72788727).

The spelling of 72753000 in words is "seventy-two million, seven hundred fifty-three thousand".