72887826 has 64 divisors (see below), whose sum is σ = 164975616. Its totient is φ = 21278400.

The previous prime is 72887821. The next prime is 72887827. The reversal of 72887826 is 62878827.

It is not an unprimeable number, because it can be changed into a prime (72887821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234211 + ... + 234521.

It is an arithmetic number, because the mean of its divisors is an integer number (2577744).

Almost surely, 2^72887826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72887826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82487808).

72887826 is an abundant number, since it is smaller than the sum of its proper divisors (92087790).

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

72887826 is a wasteful number, since it uses less digits than its factorization.

72887826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its digits is 602112, while the sum is 48.

The square root of 72887826 is about 8537.4367347583. The cubic root of 72887826 is about 417.7197399436.

The spelling of 72887826 in words is "seventy-two million, eight hundred eighty-seven thousand, eight hundred twenty-six".