72981408 has 96 divisors (see below), whose sum is σ = 204773184. Its totient is φ = 22679552.

The previous prime is 72981379. The next prime is 72981421. The reversal of 72981408 is 80418927.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321391 + ... + 321617.

It is an arithmetic number, because the mean of its divisors is an integer number (2133054).

Almost surely, 2^72981408 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 72981408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102386592).

72981408 is an abundant number, since it is smaller than the sum of its proper divisors (131791776).

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

72981408 is a wasteful number, since it uses less digits than its factorization.

72981408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 72981408 is about 8542.9156615291. The cubic root of 72981408 is about 417.8984361350.

The spelling of 72981408 in words is "seventy-two million, nine hundred eighty-one thousand, four hundred eight".