72817290 has 192 divisors, whose sum is σ = 247193856. Its totient is φ = 14432256.

The previous prime is 72817249. The next prime is 72817301. The reversal of 72817290 is 9271827.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138969 + ... + 139491.

It is an arithmetic number, because the mean of its divisors is an integer number (1287468).

Almost surely, 2^72817290 is an apocalyptic number.

72817290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72817290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123596928).

72817290 is an abundant number, since it is smaller than the sum of its proper divisors (174376566).

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

72817290 is a wasteful number, since it uses less digits than its factorization.

72817290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72817290 is about 8533.3047525563. The cubic root of 72817290 is about 417.5849493078.

The spelling of 72817290 in words is "seventy-two million, eight hundred seventeen thousand, two hundred ninety".