72233777 has 16 divisors (see below), whose sum is σ = 93975552. Its totient is φ = 53837520.

The previous prime is 72233771. The next prime is 72233803. The reversal of 72233777 is 77733227.

It is not a de Polignac number, because 72233777 - 2⁴ = 72233761 is a prime.

It is a super-3 number, since 3×72233777³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72233777.

It is not an unprimeable number, because it can be changed into a prime (72233771) 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, 18623 + ... + 22164.

It is an arithmetic number, because the mean of its divisors is an integer number (5873472).

Almost surely, 2^72233777 is an apocalyptic number.

72233777 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72233777 is a deficient number, since it is larger than the sum of its proper divisors (21741775).

72233777 is a wasteful number, since it uses less digits than its factorization.

72233777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40828.

The product of its digits is 86436, while the sum is 38.

The square root of 72233777 is about 8499.0456523071. The cubic root of 72233777 is about 416.4665335053.

The spelling of 72233777 in words is "seventy-two million, two hundred thirty-three thousand, seven hundred seventy-seven".