72058140 has 192 divisors, whose sum is σ = 279659520. Its totient is φ = 14964480.

The previous prime is 72058139. The next prime is 72058163. The reversal of 72058140 is 4185027.

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 63 ways as a sum of consecutive naturals, for example, 40714 + ... + 42446.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 2^72058140 is an apocalyptic number.

72058140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72058140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

72058140 is an abundant number, since it is smaller than the sum of its proper divisors (207601380).

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

72058140 is a wasteful number, since it uses less digits than its factorization.

72058140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72058140 is about 8488.7066152624. The cubic root of 72058140 is about 416.1287123290.

The spelling of 72058140 in words is "seventy-two million, fifty-eight thousand, one hundred forty".