72610353 has 6 divisors (see below), whose sum is σ = 104881634. Its totient is φ = 48406896.

The previous prime is 72610337. The next prime is 72610387. The reversal of 72610353 is 35301627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69105969 + 3504384 = 8313^2 + 1872^2 .

It is not a de Polignac number, because 72610353 - 2⁴ = 72610337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72610393) 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 5 ways as a sum of consecutive naturals, for example, 4033900 + ... + 4033917.

Almost surely, 2^72610353 is an apocalyptic number.

It is an amenable number.

72610353 is a deficient number, since it is larger than the sum of its proper divisors (32271281).

72610353 is a wasteful number, since it uses less digits than its factorization.

72610353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067823 (or 8067820 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72610353 is about 8521.1708702502. The cubic root of 72610353 is about 417.1890004659.

The spelling of 72610353 in words is "seventy-two million, six hundred ten thousand, three hundred fifty-three".