72046600 has 24 divisors (see below), whose sum is σ = 167508810. Its totient is φ = 28818560.

The previous prime is 72046589. The next prime is 72046607. The reversal of 72046600 is 664027.

It can be written as a sum of positive squares in 3 ways, for example, as 55741156 + 16305444 = 7466^2 + 4038^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72046607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179917 + ... + 180316.

Almost surely, 2^72046600 is an apocalyptic number.

It is an amenable number.

72046600 is an abundant number, since it is smaller than the sum of its proper divisors (95462210).

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

72046600 is a wasteful number, since it uses less digits than its factorization.

72046600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360249 (or 360240 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72046600 is about 8488.0268614090. The cubic root of 72046600 is about 416.1064970192.

The spelling of 72046600 in words is "seventy-two million, forty-six thousand, six hundred".