72133035 has 16 divisors (see below), whose sum is σ = 124291104. Its totient is φ = 35511552.

The previous prime is 72133031. The next prime is 72133043. The reversal of 72133035 is 53033127.

It is not a de Polignac number, because 72133035 - 2² = 72133031 is a prime.

It is a super-2 number, since 2×72133035² = 10406349476622450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72132996 and 72133014.

It is not an unprimeable number, because it can be changed into a prime (72133031) 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 15 ways as a sum of consecutive naturals, for example, 184762 + ... + 185151.

It is an arithmetic number, because the mean of its divisors is an integer number (7768194).

Almost surely, 2^72133035 is an apocalyptic number.

72133035 is a deficient number, since it is larger than the sum of its proper divisors (52158069).

72133035 is a wasteful number, since it uses less digits than its factorization.

72133035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369934.

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 72133035 is about 8493.1169190115. The cubic root of 72133035 is about 416.2728328429.

The spelling of 72133035 in words is "seventy-two million, one hundred thirty-three thousand, thirty-five".