72388680 has 192 divisors, whose sum is σ = 272341440. Its totient is φ = 15257088.

The previous prime is 72388649. The next prime is 72388697. The reversal of 72388680 is 8688327.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75967 + ... + 76913.

It is an arithmetic number, because the mean of its divisors is an integer number (1418445).

Almost surely, 2^72388680 is an apocalyptic number.

72388680 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 72388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136170720).

72388680 is an abundant number, since it is smaller than the sum of its proper divisors (199952760).

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

72388680 is a wasteful number, since it uses less digits than its factorization.

72388680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 72388680 is about 8508.1537362697. The cubic root of 72388680 is about 416.7640206293.

The spelling of 72388680 in words is "seventy-two million, three hundred eighty-eight thousand, six hundred eighty".