72353773 has 2 divisors, whose sum is σ = 72353774. Its totient is φ = 72353772.

The previous prime is 72353693. The next prime is 72353777. The reversal of 72353773 is 37735327.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70509609 + 1844164 = 8397^2 + 1358^2 .

It is a cyclic number.

It is not a de Polignac number, because 72353773 - 2²¹ = 70256621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72353777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36176886 + 36176887.

It is an arithmetic number, because the mean of its divisors is an integer number (36176887).

Almost surely, 2^72353773 is an apocalyptic number.

It is an amenable number.

72353773 is a deficient number, since it is larger than the sum of its proper divisors (1).

72353773 is an equidigital number, since it uses as much as digits as its factorization.

72353773 is an evil number, because the sum of its binary digits is even.

The product of its digits is 92610, while the sum is 37.

The square root of 72353773 is about 8506.1021037841. The cubic root of 72353773 is about 416.6970197266.

The spelling of 72353773 in words is "seventy-two million, three hundred fifty-three thousand, seven hundred seventy-three".