72210657 has 16 divisors (see below), whose sum is σ = 98713152. Its totient is φ = 46939200.

The previous prime is 72210637. The next prime is 72210673. The reversal of 72210657 is 75601227.

It is not a de Polignac number, because 72210657 - 2¹⁴ = 72194273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72210637) by changing a digit.

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, 18523 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (6169572).

Almost surely, 2^72210657 is an apocalyptic number.

It is an amenable number.

72210657 is a deficient number, since it is larger than the sum of its proper divisors (26502495).

72210657 is a wasteful number, since it uses less digits than its factorization.

72210657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72210657 is about 8497.6853907402. The cubic root of 72210657 is about 416.4220956900.

The spelling of 72210657 in words is "seventy-two million, two hundred ten thousand, six hundred fifty-seven".