72454680 has 96 divisors (see below), whose sum is σ = 249350400. Its totient is φ = 18183168.

The previous prime is 72454661. The next prime is 72454687. The reversal of 72454680 is 8645427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72454687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (2597400).

Almost surely, 2^72454680 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 72454680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124675200).

72454680 is an abundant number, since it is smaller than the sum of its proper divisors (176895720).

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

72454680 is a wasteful number, since it uses less digits than its factorization.

72454680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11873 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72454680 is about 8512.0314849042. The cubic root of 72454680 is about 416.8906429593.

The spelling of 72454680 in words is "seventy-two million, four hundred fifty-four thousand, six hundred eighty".