72942261 has 32 divisors (see below), whose sum is σ = 114352128. Its totient is φ = 40494720.

The previous prime is 72942253. The next prime is 72942263. The reversal of 72942261 is 16224927.

It is not a de Polignac number, because 72942261 - 2³ = 72942253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72942263) 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 31 ways as a sum of consecutive naturals, for example, 259441 + ... + 259721.

It is an arithmetic number, because the mean of its divisors is an integer number (3573504).

Almost surely, 2^72942261 is an apocalyptic number.

It is an amenable number.

72942261 is a deficient number, since it is larger than the sum of its proper divisors (41409867).

72942261 is a wasteful number, since it uses less digits than its factorization.

72942261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601.

The product of its digits is 12096, while the sum is 33.

The square root of 72942261 is about 8540.6241575192. The cubic root of 72942261 is about 417.8237029646.

The spelling of 72942261 in words is "seventy-two million, nine hundred forty-two thousand, two hundred sixty-one".