72435033 has 16 divisors (see below), whose sum is σ = 117067200. Its totient is φ = 43899840.

The previous prime is 72435029. The next prime is 72435061. The reversal of 72435033 is 33053427.

It is not a de Polignac number, because 72435033 - 2² = 72435029 is a prime.

It is a super-2 number, since 2×72435033² = 10493668011422178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72434988 and 72435006.

It is not an unprimeable number, because it can be changed into a prime (72425033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121648 + ... + 122241.

It is an arithmetic number, because the mean of its divisors is an integer number (7316700).

Almost surely, 2^72435033 is an apocalyptic number.

It is an amenable number.

72435033 is a deficient number, since it is larger than the sum of its proper divisors (44632167).

72435033 is a wasteful number, since it uses less digits than its factorization.

72435033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243909 (or 243903 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 72435033 is about 8510.8773343293. The cubic root of 72435033 is about 416.8529578348.

The spelling of 72435033 in words is "seventy-two million, four hundred thirty-five thousand, thirty-three".