72076249 has 8 divisors (see below), whose sum is σ = 82425600. Its totient is φ = 61740096.

The previous prime is 72076247. The next prime is 72076267. The reversal of 72076249 is 94267027.

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 72076249 - 2¹ = 72076247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72076247) 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, 15777 + ... + 19825.

It is an arithmetic number, because the mean of its divisors is an integer number (10303200).

Almost surely, 2^72076249 is an apocalyptic number.

It is an amenable number.

72076249 is a deficient number, since it is larger than the sum of its proper divisors (10349351).

72076249 is a wasteful number, since it uses less digits than its factorization.

72076249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 72076249 is about 8489.7732007398. The cubic root of 72076249 is about 416.1635686440.

It can be divided in two parts, 7207 and 6249, that added together give a square (13456 = 116²).

The spelling of 72076249 in words is "seventy-two million, seventy-six thousand, two hundred forty-nine".