72354600 has 96 divisors (see below), whose sum is σ = 249240000. Its totient is φ = 19293120.

The previous prime is 72354571. The next prime is 72354613. The reversal of 72354600 is 645327.

It is a happy number.

72354600 is a `hidden beast` number, since 7 + 2 + 3 + 54 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (2596250).

Almost surely, 2^72354600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72354600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124620000).

72354600 is an abundant number, since it is smaller than the sum of its proper divisors (176885400).

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

72354600 is a wasteful number, since it uses less digits than its factorization.

72354600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72354600 is about 8506.1507158056. The cubic root of 72354600 is about 416.6986073292.

Adding to 72354600 its reverse (645327), we get a palindrome (72999927).

The spelling of 72354600 in words is "seventy-two million, three hundred fifty-four thousand, six hundred".