72745680 has 320 divisors, whose sum is σ = 282839040. Its totient is φ = 15095808.

The previous prime is 72745679. The next prime is 72745691. The reversal of 72745680 is 8654727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372534 + ... + 1372586.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^72745680 is an apocalyptic number.

72745680 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 72745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

72745680 is an abundant number, since it is smaller than the sum of its proper divisors (210093360).

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

72745680 is a wasteful number, since it uses less digits than its factorization.

72745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 72745680 is about 8529.1078079715. The cubic root of 72745680 is about 417.4480172410.

The spelling of 72745680 in words is "seventy-two million, seven hundred forty-five thousand, six hundred eighty".