72433767 has 16 divisors (see below), whose sum is σ = 112024832. Its totient is φ = 40772160.

The previous prime is 72433747. The next prime is 72433771. The reversal of 72433767 is 76733427.

It is not a de Polignac number, because 72433767 - 2²⁰ = 71385191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72433747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24334 + ... + 27147.

It is an arithmetic number, because the mean of its divisors is an integer number (7001552).

Almost surely, 2^72433767 is an apocalyptic number.

72433767 is a deficient number, since it is larger than the sum of its proper divisors (39591065).

72433767 is a wasteful number, since it uses less digits than its factorization.

72433767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51558.

The product of its digits is 148176, while the sum is 39.

The square root of 72433767 is about 8510.8029585933. The cubic root of 72433767 is about 416.8505292727.

The spelling of 72433767 in words is "seventy-two million, four hundred thirty-three thousand, seven hundred sixty-seven".