1251378072 has 336 divisors, whose sum is σ = 4261388400. Its totient is φ = 342921600.

The previous prime is 1251378067. The next prime is 1251378127. The reversal of 1251378072 is 2708731521.

1251378072 is a `hidden beast` number, since 1 + 2 + 513 + 78 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8287197 + ... + 8287347.

Almost surely, 2^1251378072 is an apocalyptic number.

1251378072 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 1251378072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130694200).

1251378072 is an abundant number, since it is smaller than the sum of its proper divisors (3010010328).

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

1251378072 is a wasteful number, since it uses less digits than its factorization.

1251378072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1251378072 is about 35374.8225719932. The cubic root of 1251378072 is about 1077.6130617809.

The spelling of 1251378072 in words is "one billion, two hundred fifty-one million, three hundred seventy-eight thousand, seventy-two".