72712080 has 300 divisors, whose sum is σ = 295053660. Its totient is φ = 16547328.

The previous prime is 72712063. The next prime is 72712093. The reversal of 72712080 is 8021727.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 22924944 = 7056^2 + 4788^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317406 + ... + 317634.

Almost surely, 2^72712080 is an apocalyptic number.

72712080 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 72712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147526830).

72712080 is an abundant number, since it is smaller than the sum of its proper divisors (222341580).

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

72712080 is a wasteful number, since it uses less digits than its factorization.

72712080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72712080 is about 8527.1378551071. The cubic root of 72712080 is about 417.3837366155.

The spelling of 72712080 in words is "seventy-two million, seven hundred twelve thousand, eighty".