72377313 has 8 divisors (see below), whose sum is σ = 102179808. Its totient is φ = 45413184.

The previous prime is 72377309. The next prime is 72377317. The reversal of 72377313 is 31377327.

It is an interprime number because it is at equal distance from previous prime (72377309) and next prime (72377317).

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

It is not a de Polignac number, because 72377313 - 2² = 72377309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72377317) 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, 709531 + ... + 709632.

It is an arithmetic number, because the mean of its divisors is an integer number (12772476).

Almost surely, 2^72377313 is an apocalyptic number.

It is an amenable number.

72377313 is a deficient number, since it is larger than the sum of its proper divisors (29802495).

72377313 is a wasteful number, since it uses less digits than its factorization.

72377313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419183.

The product of its digits is 18522, while the sum is 33.

The square root of 72377313 is about 8507.4857037788. The cubic root of 72377313 is about 416.7422050424.

It can be divided in two parts, 723773 and 13, that multiplied together give a palindrome (9409049).

The spelling of 72377313 in words is "seventy-two million, three hundred seventy-seven thousand, three hundred thirteen".