72609600 has 168 divisors, whose sum is σ = 272377408. Its totient is φ = 16588800.

The previous prime is 72609553. The next prime is 72609613. The reversal of 72609600 is 690627.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32520 + ... + 34680.

Almost surely, 2^72609600 is an apocalyptic number.

72609600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136188704).

72609600 is an abundant number, since it is smaller than the sum of its proper divisors (199767808).

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

72609600 is a wasteful number, since it uses less digits than its factorization.

72609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 72609600 is about 8521.1266860668. The cubic root of 72609600 is about 417.1875583189.

The spelling of 72609600 in words is "seventy-two million, six hundred nine thousand, six hundred".