72300719 has 16 divisors (see below), whose sum is σ = 77844480. Its totient is φ = 67137336.

The previous prime is 72300689. The next prime is 72300731. The reversal of 72300719 is 91700327.

It is a happy number.

It is not a de Polignac number, because 72300719 - 2¹⁶ = 72235183 is a prime.

It is a super-2 number, since 2×72300719² = 10454787935833922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72300691 and 72300700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72300119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569234 + ... + 569360.

It is an arithmetic number, because the mean of its divisors is an integer number (4865280).

Almost surely, 2^72300719 is an apocalyptic number.

72300719 is a deficient number, since it is larger than the sum of its proper divisors (5543761).

72300719 is an equidigital number, since it uses as much as digits as its factorization.

72300719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 72300719 is about 8502.9829471780. The cubic root of 72300719 is about 416.5951459820.

The spelling of 72300719 in words is "seventy-two million, three hundred thousand, seven hundred nineteen".