72479484 has 108 divisors (see below), whose sum is σ = 230247472. Its totient is φ = 18817920.

The previous prime is 72479453. The next prime is 72479489. The reversal of 72479484 is 48497427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72479489) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29304 + ... + 31680.

Almost surely, 2^72479484 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 72479484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115123736).

72479484 is an abundant number, since it is smaller than the sum of its proper divisors (157767988).

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

72479484 is a wasteful number, since it uses less digits than its factorization.

72479484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2400 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 72479484 is about 8513.4883567196. The cubic root of 72479484 is about 416.9382100534.

It can be divided in two parts, 724 and 79484, that added together give a palindrome (80208).

The spelling of 72479484 in words is "seventy-two million, four hundred seventy-nine thousand, four hundred eighty-four".