72112380 has 24 divisors (see below), whose sum is σ = 201914832. Its totient is φ = 19229952.

The previous prime is 72112367. The next prime is 72112387. The reversal of 72112380 is 8321127.

It is a self number, because there is not a number n which added to its sum of digits gives 72112380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72112387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600877 + ... + 600996.

It is an arithmetic number, because the mean of its divisors is an integer number (8413118).

Almost surely, 2^72112380 is an apocalyptic number.

It is an amenable number.

72112380 is an abundant number, since it is smaller than the sum of its proper divisors (129802452).

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

72112380 is a wasteful number, since it uses less digits than its factorization.

72112380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201885 (or 1201883 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72112380 is about 8491.9008472780. The cubic root of 72112380 is about 416.2330963746.

It can be divided in two parts, 7211 and 2380, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 72112380 in words is "seventy-two million, one hundred twelve thousand, three hundred eighty".