72680478 has 48 divisors (see below), whose sum is σ = 158595120. Its totient is φ = 22194432.

The previous prime is 72680477. The next prime is 72680501. The reversal of 72680478 is 87408627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72680477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232050 + ... + 232362.

It is an arithmetic number, because the mean of its divisors is an integer number (3304065).

Almost surely, 2^72680478 is an apocalyptic number.

72680478 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72680478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79297560).

72680478 is an abundant number, since it is smaller than the sum of its proper divisors (85914642).

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

72680478 is a wasteful number, since it uses less digits than its factorization.

72680478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72680478 is about 8525.2846286796. The cubic root of 72680478 is about 417.3232603178.

The spelling of 72680478 in words is "seventy-two million, six hundred eighty thousand, four hundred seventy-eight".