72058496 has 32 divisors (see below), whose sum is σ = 144456480. Its totient is φ = 35802880.

The previous prime is 72058489. The next prime is 72058501. The reversal of 72058496 is 69485027.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19691 + ... + 23061.

It is an arithmetic number, because the mean of its divisors is an integer number (4514265).

Almost surely, 2^72058496 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 72058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72228240).

72058496 is an abundant number, since it is smaller than the sum of its proper divisors (72397984).

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

72058496 is a wasteful number, since it uses less digits than its factorization.

72058496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 72058496 is about 8488.7275842732. The cubic root of 72058496 is about 416.1293976163.

The spelling of 72058496 in words is "seventy-two million, fifty-eight thousand, four hundred ninety-six".