72306773 has 16 divisors (see below), whose sum is σ = 93260160. Its totient is φ = 54398400.

The previous prime is 72306743. The next prime is 72306781. The reversal of 72306773 is 37760327.

It is not a de Polignac number, because 72306773 - 2⁶ = 72306709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306713) 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, 13958 + ... + 18423.

It is an arithmetic number, because the mean of its divisors is an integer number (5828760).

Almost surely, 2^72306773 is an apocalyptic number.

It is an amenable number.

72306773 is a deficient number, since it is larger than the sum of its proper divisors (20953387).

72306773 is a wasteful number, since it uses less digits than its factorization.

72306773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32428.

The product of its (nonzero) digits is 37044, while the sum is 35.

The square root of 72306773 is about 8503.3389324429. The cubic root of 72306773 is about 416.6067733289.

The spelling of 72306773 in words is "seventy-two million, three hundred six thousand, seven hundred seventy-three".