72362761 has 8 divisors (see below), whose sum is σ = 79951104. Its totient is φ = 65144640.

The previous prime is 72362749. The next prime is 72362767. The reversal of 72362761 is 16726327.

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 72362761 - 2¹⁷ = 72231689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72362767) 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, 92145 + ... + 92926.

It is an arithmetic number, because the mean of its divisors is an integer number (9993888).

Almost surely, 2^72362761 is an apocalyptic number.

It is an amenable number.

72362761 is a deficient number, since it is larger than the sum of its proper divisors (7588343).

72362761 is a wasteful number, since it uses less digits than its factorization.

72362761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185111.

The product of its digits is 21168, while the sum is 34.

The square root of 72362761 is about 8506.6304139771. The cubic root of 72362761 is about 416.7142734582.

The spelling of 72362761 in words is "seventy-two million, three hundred sixty-two thousand, seven hundred sixty-one".