72833035 has 16 divisors (see below), whose sum is σ = 95512032. Its totient is φ = 52876800.

The previous prime is 72833021. The next prime is 72833053. The reversal of 72833035 is 53033827.

It is not a de Polignac number, because 72833035 - 2⁵ = 72833003 is a prime.

It is a super-2 number, since 2×72833035² = 10609301974622450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72832988 and 72833006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55507 + ... + 56803.

It is an arithmetic number, because the mean of its divisors is an integer number (5969502).

Almost surely, 2^72833035 is an apocalyptic number.

72833035 is a deficient number, since it is larger than the sum of its proper divisors (22678997).

72833035 is a wasteful number, since it uses less digits than its factorization.

72833035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72833035 is about 8534.2272643749. The cubic root of 72833035 is about 417.6150447298.

The spelling of 72833035 in words is "seventy-two million, eight hundred thirty-three thousand, thirty-five".