72753153 has 16 divisors (see below), whose sum is σ = 107822016. Its totient is φ = 43259840.

The previous prime is 72753127. The next prime is 72753169. The reversal of 72753153 is 35135727.

It is a cyclic number.

It is not a de Polignac number, because 72753153 - 2¹² = 72749057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72753173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19050 + ... + 22547.

It is an arithmetic number, because the mean of its divisors is an integer number (6738876).

Almost surely, 2^72753153 is an apocalyptic number.

It is an amenable number.

72753153 is a deficient number, since it is larger than the sum of its proper divisors (35068863).

72753153 is a wasteful number, since it uses less digits than its factorization.

72753153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41664.

The product of its digits is 22050, while the sum is 33.

The square root of 72753153 is about 8529.5458847467. The cubic root of 72753153 is about 417.4623112500.

The spelling of 72753153 in words is "seventy-two million, seven hundred fifty-three thousand, one hundred fifty-three".