72682758 has 72 divisors (see below), whose sum is σ = 170052480. Its totient is φ = 23269680.

The previous prime is 72682699. The next prime is 72682759. The reversal of 72682758 is 85728627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72682759) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380443 + ... + 380633.

It is an arithmetic number, because the mean of its divisors is an integer number (2361840).

Almost surely, 2^72682758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72682758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85026240).

72682758 is an abundant number, since it is smaller than the sum of its proper divisors (97369722).

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

72682758 is an equidigital number, since it uses as much as digits as its factorization.

72682758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72682758 is about 8525.4183475065. The cubic root of 72682758 is about 417.3276241080.

The spelling of 72682758 in words is "seventy-two million, six hundred eighty-two thousand, seven hundred fifty-eight".