72523033 has 8 divisors (see below), whose sum is σ = 79261920. Its totient is φ = 65808480.

The previous prime is 72523013. The next prime is 72523049. The reversal of 72523033 is 33032527.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 72523033 - 2⁵ = 72523001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72522989 and 72523007.

It is not an unprimeable number, because it can be changed into a prime (72523013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 12052.

It is an arithmetic number, because the mean of its divisors is an integer number (9907740).

Almost surely, 2^72523033 is an apocalyptic number.

It is an amenable number.

72523033 is a deficient number, since it is larger than the sum of its proper divisors (6738887).

72523033 is a wasteful number, since it uses less digits than its factorization.

72523033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12167.

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 72523033 is about 8516.0456198872. The cubic root of 72523033 is about 417.0216985375.

The spelling of 72523033 in words is "seventy-two million, five hundred twenty-three thousand, thirty-three".