72349355 has 32 divisors (see below), whose sum is σ = 96743808. Its totient is φ = 51609600.

The previous prime is 72349327. The next prime is 72349369. The reversal of 72349355 is 55394327.

It is not a de Polignac number, because 72349355 - 2¹⁶ = 72283819 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281387 + ... + 281643.

It is an arithmetic number, because the mean of its divisors is an integer number (3023244).

Almost surely, 2^72349355 is an apocalyptic number.

72349355 is a deficient number, since it is larger than the sum of its proper divisors (24394453).

72349355 is a wasteful number, since it uses less digits than its factorization.

72349355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 113400, while the sum is 38.

The square root of 72349355 is about 8505.8424039010. The cubic root of 72349355 is about 416.6885382297.

The spelling of 72349355 in words is "seventy-two million, three hundred forty-nine thousand, three hundred fifty-five".