72292122 has 32 divisors (see below), whose sum is σ = 183600000. Its totient is φ = 20654784.

The previous prime is 72292111. The next prime is 72292133. The reversal of 72292122 is 22129227.

It is an interprime number because it is at equal distance from previous prime (72292111) and next prime (72292133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95247 + ... + 96002.

It is an arithmetic number, because the mean of its divisors is an integer number (5737500).

Almost surely, 2^72292122 is an apocalyptic number.

72292122 is an abundant number, since it is smaller than the sum of its proper divisors (111307878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72292122 is a wasteful number, since it uses less digits than its factorization.

72292122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191267 (or 191261 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72292122 is about 8502.4774036748. The cubic root of 72292122 is about 416.5786334194.

The spelling of 72292122 in words is "seventy-two million, two hundred ninety-two thousand, one hundred twenty-two".