72822492 has 72 divisors (see below), whose sum is σ = 196088256. Its totient is φ = 22708224.

The previous prime is 72822481. The next prime is 72822527. The reversal of 72822492 is 29422827.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157053 + ... + 157515.

It is an arithmetic number, because the mean of its divisors is an integer number (2723448).

Almost surely, 2^72822492 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 72822492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98044128).

72822492 is an abundant number, since it is smaller than the sum of its proper divisors (123265764).

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

72822492 is a wasteful number, since it uses less digits than its factorization.

72822492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 742 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72822492 is about 8533.6095528211. The cubic root of 72822492 is about 417.5948930322.

It can be divided in two parts, 728 and 22492, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 72822492 in words is "seventy-two million, eight hundred twenty-two thousand, four hundred ninety-two".