72058896 has 300 divisors, whose sum is σ = 263590272. Its totient is φ = 18600192.

The previous prime is 72058879. The next prime is 72058897. The reversal of 72058896 is 69885027.

It is not an unprimeable number, because it can be changed into a prime (72058897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533145 + ... + 1533191.

Almost surely, 2^72058896 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 72058896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131795136).

72058896 is an abundant number, since it is smaller than the sum of its proper divisors (191531376).

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

72058896 is a wasteful number, since it uses less digits than its factorization.

72058896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72058896 is about 8488.7511448976. The cubic root of 72058896 is about 416.1301675993.

The spelling of 72058896 in words is "seventy-two million, fifty-eight thousand, eight hundred ninety-six".