10278972 has 72 divisors (see below), whose sum is σ = 28737072. Its totient is φ = 3072000.

The previous prime is 10278971. The next prime is 10278977. The reversal of 10278972 is 27987201.

10278972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10278971) 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, 39868 + ... + 40124.

It is an arithmetic number, because the mean of its divisors is an integer number (399126).

Almost surely, 2^10278972 is an apocalyptic number.

10278972 is a gapful number since it is divisible by the number (12) 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 10278972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368536).

10278972 is an abundant number, since it is smaller than the sum of its proper divisors (18458100).

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

10278972 is a wasteful number, since it uses less digits than its factorization.

10278972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

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

The square root of 10278972 is about 3206.0835921729. The cubic root of 10278972 is about 217.4285456917.

It can be divided in two parts, 1027 and 8972, that added together give a palindrome (9999).

The spelling of 10278972 in words is "ten million, two hundred seventy-eight thousand, nine hundred seventy-two".