72377617 has 8 divisors (see below), whose sum is σ = 78750056. Its totient is φ = 66120192.

The previous prime is 72377611. The next prime is 72377629. The reversal of 72377617 is 71677327.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 71385601 = 996^2 + 8449^2 .

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 72377617 - 2³ = 72377609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72377617.

It is not an unprimeable number, because it can be changed into a prime (72377611) 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, 27438 + ... + 29959.

It is an arithmetic number, because the mean of its divisors is an integer number (9843757).

Almost surely, 2^72377617 is an apocalyptic number.

It is an amenable number.

72377617 is a deficient number, since it is larger than the sum of its proper divisors (6372439).

72377617 is a wasteful number, since it uses less digits than its factorization.

72377617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57507.

The product of its digits is 86436, while the sum is 40.

The square root of 72377617 is about 8507.5035703783. The cubic root of 72377617 is about 416.7427885100.

The spelling of 72377617 in words is "seventy-two million, three hundred seventy-seven thousand, six hundred seventeen".