72133251 has 8 divisors (see below), whose sum is σ = 96681984. Its totient is φ = 47836680.

The previous prime is 72133219. The next prime is 72133277. The reversal of 72133251 is 15233127.

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

It is not a de Polignac number, because 72133251 - 2⁵ = 72133219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72133751) 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 7 ways as a sum of consecutive naturals, for example, 62371 + ... + 63516.

It is an arithmetic number, because the mean of its divisors is an integer number (12085248).

Almost surely, 2^72133251 is an apocalyptic number.

72133251 is a deficient number, since it is larger than the sum of its proper divisors (24548733).

72133251 is a wasteful number, since it uses less digits than its factorization.

72133251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126081.

The product of its digits is 1260, while the sum is 24.

The square root of 72133251 is about 8493.1296351816. The cubic root of 72133251 is about 416.2732483476.

Adding to 72133251 its reverse (15233127), we get a palindrome (87366378).

The spelling of 72133251 in words is "seventy-two million, one hundred thirty-three thousand, two hundred fifty-one".