72146982 has 32 divisors (see below), whose sum is σ = 149520384. Its totient is φ = 23184000.

The previous prime is 72146953. The next prime is 72146989. The reversal of 72146982 is 28964127.

It is a self number, because there is not a number n which added to its sum of digits gives 72146982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72146989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62107 + ... + 63257.

It is an arithmetic number, because the mean of its divisors is an integer number (4672512).

Almost surely, 2^72146982 is an apocalyptic number.

72146982 is an abundant number, since it is smaller than the sum of its proper divisors (77373402).

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

72146982 is a wasteful number, since it uses less digits than its factorization.

72146982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524.

The product of its digits is 48384, while the sum is 39.

The square root of 72146982 is about 8493.9379559778. The cubic root of 72146982 is about 416.2996600474.

It can be divided in two parts, 7214 and 6982, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 72146982 in words is "seventy-two million, one hundred forty-six thousand, nine hundred eighty-two".