72477723 has 16 divisors (see below), whose sum is σ = 103161600. Its totient is φ = 45128160.

The previous prime is 72477703. The next prime is 72477733. The reversal of 72477723 is 32777427.

It is not a de Polignac number, because 72477723 - 2²⁰ = 71429147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72477703) by changing a digit.

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, 4908 + ... + 13001.

It is an arithmetic number, because the mean of its divisors is an integer number (6447600).

Almost surely, 2^72477723 is an apocalyptic number.

72477723 is a deficient number, since it is larger than the sum of its proper divisors (30683877).

72477723 is a wasteful number, since it uses less digits than its factorization.

72477723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002.

The product of its digits is 115248, while the sum is 39.

The square root of 72477723 is about 8513.3849319762. The cubic root of 72477723 is about 416.9348333087.

The spelling of 72477723 in words is "seventy-two million, four hundred seventy-seven thousand, seven hundred twenty-three".