10072280 has 64 divisors (see below), whose sum is σ = 24732000. Its totient is φ = 3677184.

The previous prime is 10072247. The next prime is 10072289. The reversal of 10072280 is 8227001.

10072280 = T₉₀ + T₉₁ + ... + T₃₉₃.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21812 + ... + 22268.

Almost surely, 2^10072280 is an apocalyptic number.

10072280 is a gapful number since it is divisible by the number (10) 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 10072280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366000).

10072280 is an abundant number, since it is smaller than the sum of its proper divisors (14659720).

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

10072280 is a wasteful number, since it uses less digits than its factorization.

10072280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10072280 is about 3173.6855546824. The cubic root of 10072280 is about 215.9612985074.

Adding to 10072280 its reverse (8227001), we get a palindrome (18299281).

The spelling of 10072280 in words is "ten million, seventy-two thousand, two hundred eighty".