72200667 has 24 divisors (see below), whose sum is σ = 122167872. Its totient is φ = 37506000.

The previous prime is 72200663. The next prime is 72200669. The reversal of 72200667 is 76600227.

It is not a de Polignac number, because 72200667 - 2² = 72200663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72200663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20709 + ... + 23942.

It is an arithmetic number, because the mean of its divisors is an integer number (5090328).

Almost surely, 2^72200667 is an apocalyptic number.

72200667 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72200667 is a deficient number, since it is larger than the sum of its proper divisors (49967205).

72200667 is a wasteful number, since it uses less digits than its factorization.

72200667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44679 (or 44672 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72200667 is about 8497.0975632859. The cubic root of 72200667 is about 416.4028914674.

The spelling of 72200667 in words is "seventy-two million, two hundred thousand, six hundred sixty-seven".