72141084 has 48 divisors (see below), whose sum is σ = 188055840. Its totient is φ = 23915520.

The previous prime is 72141077. The next prime is 72141107. The reversal of 72141084 is 48014127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19114 + ... + 22574.

It is an arithmetic number, because the mean of its divisors is an integer number (3917830).

Almost surely, 2^72141084 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 72141084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94027920).

72141084 is an abundant number, since it is smaller than the sum of its proper divisors (115914756).

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

72141084 is a wasteful number, since it uses less digits than its factorization.

72141084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72141084 is about 8493.5907600967. The cubic root of 72141084 is about 416.2883156029.

The spelling of 72141084 in words is "seventy-two million, one hundred forty-one thousand, eighty-four".