72351600 has 60 divisors (see below), whose sum is σ = 231770136. Its totient is φ = 19293440.

The previous prime is 72351589. The next prime is 72351619. The reversal of 72351600 is 615327.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28947 + ... + 31346.

Almost surely, 2^72351600 is an apocalyptic number.

It is an amenable number.

72351600 is an abundant number, since it is smaller than the sum of its proper divisors (159418536).

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

72351600 is a wasteful number, since it uses less digits than its factorization.

72351600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60314 (or 60303 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 72351600 is about 8505.9743709936. The cubic root of 72351600 is about 416.6928481326.

Adding to 72351600 its reverse (615327), we get a palindrome (72966927).

The spelling of 72351600 in words is "seventy-two million, three hundred fifty-one thousand, six hundred".