72713760 has 384 divisors, whose sum is σ = 296110080. Its totient is φ = 14598144.

The previous prime is 72713717. The next prime is 72713761. The reversal of 72713760 is 6731727.

It is not an unprimeable number, because it can be changed into a prime (72713761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085247 + ... + 1085313.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^72713760 is an apocalyptic number.

72713760 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 72713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

72713760 is an abundant number, since it is smaller than the sum of its proper divisors (223396320).

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

72713760 is a wasteful number, since it uses less digits than its factorization.

72713760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 72713760 is about 8527.2363635588. The cubic root of 72713760 is about 417.3869511170.

The spelling of 72713760 in words is "seventy-two million, seven hundred thirteen thousand, seven hundred sixty".