72533777 has 2 divisors, whose sum is σ = 72533778. Its totient is φ = 72533776.

The previous prime is 72533767. The next prime is 72533803. The reversal of 72533777 is 77733527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63984001 + 8549776 = 7999^2 + 2924^2 .

It is a cyclic number.

It is not a de Polignac number, because 72533777 - 2¹⁶ = 72468241 is a prime.

It is a super-2 number, since 2×72533777² = 10522297611771458, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72533767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36266888 + 36266889.

It is an arithmetic number, because the mean of its divisors is an integer number (36266889).

Almost surely, 2^72533777 is an apocalyptic number.

It is an amenable number.

72533777 is a deficient number, since it is larger than the sum of its proper divisors (1).

72533777 is an equidigital number, since it uses as much as digits as its factorization.

72533777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216090, while the sum is 41.

The square root of 72533777 is about 8516.6764057348. The cubic root of 72533777 is about 417.0422908915.

The spelling of 72533777 in words is "seventy-two million, five hundred thirty-three thousand, seven hundred seventy-seven".