72935733 has 8 divisors (see below), whose sum is σ = 104728288. Its totient is φ = 44883504.

The previous prime is 72935717. The next prime is 72935771. The reversal of 72935733 is 33753927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72935733 - 2⁴ = 72935717 is a prime.

It is a super-2 number, since 2×72935733² = 10639242296494578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1870147 = 72935733 / (7 + 2 + 9 + 3 + 5 + 7 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72935691 and 72935700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72935333) 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 7 ways as a sum of consecutive naturals, for example, 935035 + ... + 935112.

It is an arithmetic number, because the mean of its divisors is an integer number (13091036).

Almost surely, 2^72935733 is an apocalyptic number.

It is an amenable number.

72935733 is a deficient number, since it is larger than the sum of its proper divisors (31792555).

72935733 is a wasteful number, since it uses less digits than its factorization.

72935733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870163.

The product of its digits is 119070, while the sum is 39.

The square root of 72935733 is about 8540.2419754946. The cubic root of 72935733 is about 417.8112381535.

The spelling of 72935733 in words is "seventy-two million, nine hundred thirty-five thousand, seven hundred thirty-three".