72579780 has 288 divisors, whose sum is σ = 284215680. Its totient is φ = 15240960.

The previous prime is 72579769. The next prime is 72579781. The reversal of 72579780 is 8797527.

72579780 is a `hidden beast` number, since 7 + 2 + 579 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72579781) 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 95 ways as a sum of consecutive naturals, for example, 343875 + ... + 344085.

It is an arithmetic number, because the mean of its divisors is an integer number (986860).

Almost surely, 2^72579780 is an apocalyptic number.

72579780 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 72579780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

72579780 is an abundant number, since it is smaller than the sum of its proper divisors (211635900).

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

72579780 is a wasteful number, since it uses less digits than its factorization.

72579780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 72579780 is about 8519.3767377667. The cubic root of 72579780 is about 417.1304389828.

The spelling of 72579780 in words is "seventy-two million, five hundred seventy-nine thousand, seven hundred eighty".