72741856 has 48 divisors (see below), whose sum is σ = 157172400. Its totient is φ = 32865280.

The previous prime is 72741839. The next prime is 72741859. The reversal of 72741856 is 65814727.

It is a super-2 number, since 2×72741856² = 10582755228649472, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72741859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68820 + ... + 69868.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 2^72741856 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 72741856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78586200).

72741856 is an abundant number, since it is smaller than the sum of its proper divisors (84430544).

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

72741856 is a wasteful number, since it uses less digits than its factorization.

72741856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 72741856 is about 8528.8836315194. The cubic root of 72741856 is about 417.4407024919.

The spelling of 72741856 in words is "seventy-two million, seven hundred forty-one thousand, eight hundred fifty-six".