72983484 has 96 divisors (see below), whose sum is σ = 227673600. Its totient is φ = 19751040.

The previous prime is 72983473. The next prime is 72983489. The reversal of 72983484 is 48438927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72983489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11824 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (2371600).

Almost surely, 2^72983484 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 72983484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836800).

72983484 is an abundant number, since it is smaller than the sum of its proper divisors (154690116).

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

72983484 is a wasteful number, since it uses less digits than its factorization.

72983484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5112 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 72983484 is about 8543.0371648495. The cubic root of 72983484 is about 417.9023985548.

The spelling of 72983484 in words is "seventy-two million, nine hundred eighty-three thousand, four hundred eighty-four".