72546900 has 36 divisors (see below), whose sum is σ = 209903232. Its totient is φ = 19345760.

The previous prime is 72546869. The next prime is 72546907. The reversal of 72546900 is 964527.

It is a super-2 number, since 2×72546900² = 10526105399220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72546907) 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 11 ways as a sum of consecutive naturals, for example, 120612 + ... + 121211.

Almost surely, 2^72546900 is an apocalyptic number.

It is an amenable number.

72546900 is an abundant number, since it is smaller than the sum of its proper divisors (137356332).

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

72546900 is a wasteful number, since it uses less digits than its factorization.

72546900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241840 (or 241833 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72546900 is about 8517.4468005383. The cubic root of 72546900 is about 417.0674401676.

The spelling of 72546900 in words is "seventy-two million, five hundred forty-six thousand, nine hundred".