10072054278 has 144 divisors (see below), whose sum is σ = 26044881408. Its totient is φ = 2794176000.

The previous prime is 10072054259. The next prime is 10072054283. The reversal of 10072054278 is 87245027001.

10072054278 is a `hidden beast` number, since 100 + 7 + 2 + 0 + 542 + 7 + 8 = 666.

It is a super-3 number, since 3×10072054278³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3594478 + ... + 3597278.

It is an arithmetic number, because the mean of its divisors is an integer number (180867232).

Almost surely, 2^10072054278 is an apocalyptic number.

10072054278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072054278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022440704).

10072054278 is an abundant number, since it is smaller than the sum of its proper divisors (15972827130).

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

10072054278 is a wasteful number, since it uses less digits than its factorization.

10072054278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10072054278 in words is "ten billion, seventy-two million, fifty-four thousand, two hundred seventy-eight".