72493056 has 240 divisors, whose sum is σ = 237837600. Its totient is φ = 21897216.

The previous prime is 72493013. The next prime is 72493061. The reversal of 72493056 is 65039427.

72493056 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72493056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3151861 + ... + 3151883.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 2^72493056 is an apocalyptic number.

72493056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

72493056 is an abundant number, since it is smaller than the sum of its proper divisors (165344544).

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

72493056 is a wasteful number, since it uses less digits than its factorization.

72493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72493056 is about 8514.2854074784. The cubic root of 72493056 is about 416.9642327378.

The spelling of 72493056 in words is "seventy-two million, four hundred ninety-three thousand, fifty-six".