72067633 has 4 divisors (see below), whose sum is σ = 78619248. Its totient is φ = 65516020.

The previous prime is 72067577. The next prime is 72067649. The reversal of 72067633 is 33676027.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72067633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72067663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3275791 + ... + 3275812.

It is an arithmetic number, because the mean of its divisors is an integer number (19654812).

Almost surely, 2^72067633 is an apocalyptic number.

It is an amenable number.

72067633 is a deficient number, since it is larger than the sum of its proper divisors (6551615).

72067633 is a wasteful number, since it uses less digits than its factorization.

72067633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551614.

The product of its (nonzero) digits is 31752, while the sum is 34.

The square root of 72067633 is about 8489.2657515241. The cubic root of 72067633 is about 416.1469852422.

The spelling of 72067633 in words is "seventy-two million, sixty-seven thousand, six hundred thirty-three".