72400433 has 16 divisors (see below), whose sum is σ = 89654400. Its totient is φ = 57044736.

The previous prime is 72400429. The next prime is 72400439. The reversal of 72400433 is 33400427.

It is a happy number.

It is not a de Polignac number, because 72400433 - 2² = 72400429 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72400399 and 72400408.

It is not an unprimeable number, because it can be changed into a prime (72400439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1958 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (5603400).

Almost surely, 2^72400433 is an apocalyptic number.

It is an amenable number.

72400433 is a deficient number, since it is larger than the sum of its proper divisors (17253967).

72400433 is a wasteful number, since it uses less digits than its factorization.

72400433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14216.

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 72400433 is about 8508.8443986243. The cubic root of 72400433 is about 416.7865746275.

The spelling of 72400433 in words is "seventy-two million, four hundred thousand, four hundred thirty-three".