72205149 has 8 divisors (see below), whose sum is σ = 101340640. Its totient is φ = 45603216.

The previous prime is 72205139. The next prime is 72205153. The reversal of 72205149 is 94150227.

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

It is not a de Polignac number, because 72205149 - 2⁵ = 72205117 is a prime.

It is a super-2 number, since 2×72205149² = 10427167084224402, which contains 22 as substring.

It is a Duffinian number.

72205149 is a modest number, since divided by 5149 gives 722 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205129) 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, 633322 + ... + 633435.

It is an arithmetic number, because the mean of its divisors is an integer number (12667580).

Almost surely, 2^72205149 is an apocalyptic number.

It is an amenable number.

72205149 is a deficient number, since it is larger than the sum of its proper divisors (29135491).

72205149 is a wasteful number, since it uses less digits than its factorization.

72205149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266779.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 72205149 is about 8497.3612963084. The cubic root of 72205149 is about 416.4115076350.

The spelling of 72205149 in words is "seventy-two million, two hundred five thousand, one hundred forty-nine".