72458672 has 60 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 30391680.

The previous prime is 72458669. The next prime is 72458699. The reversal of 72458672 is 27685427.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23729 + ... + 26607.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^72458672 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 72458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

72458672 is an abundant number, since it is smaller than the sum of its proper divisors (93780688).

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

72458672 is a wasteful number, since it uses less digits than its factorization.

72458672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2905 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 72458672 is about 8512.2659732882. The cubic root of 72458672 is about 416.8982992252.

The spelling of 72458672 in words is "seventy-two million, four hundred fifty-eight thousand, six hundred seventy-two".