72800476 has 72 divisors (see below), whose sum is σ = 158291280. Its totient is φ = 29127168.

The previous prime is 72800473. The next prime is 72800479. The reversal of 72800476 is 67400827.

It is an interprime number because it is at equal distance from previous prime (72800473) and next prime (72800479).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800473) 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, 420726 + ... + 420898.

It is an arithmetic number, because the mean of its divisors is an integer number (2198490).

Almost surely, 2^72800476 is an apocalyptic number.

72800476 is a gapful number since it is divisible by the number (76) 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 72800476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79145640).

72800476 is an abundant number, since it is smaller than the sum of its proper divisors (85490804).

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

72800476 is a wasteful number, since it uses less digits than its factorization.

72800476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72800476 is about 8532.3194970653. The cubic root of 72800476 is about 417.5528057797.

The spelling of 72800476 in words is "seventy-two million, eight hundred thousand, four hundred seventy-six".