1250472672 has 288 divisors, whose sum is σ = 3948497280. Its totient is φ = 373800960.

The previous prime is 1250472659. The next prime is 1250472673. The reversal of 1250472672 is 2762740521.

It is a happy number.

1250472672 is a `hidden beast` number, since 12 + 504 + 72 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1250472673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15828729 + ... + 15828807.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^1250472672 is an apocalyptic number.

1250472672 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 1250472672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640).

1250472672 is an abundant number, since it is smaller than the sum of its proper divisors (2698024608).

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

1250472672 is a wasteful number, since it uses less digits than its factorization.

1250472672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1250472672 is about 35362.0230190525. The cubic root of 1250472672 is about 1077.3531066990.

The spelling of 1250472672 in words is "one billion, two hundred fifty million, four hundred seventy-two thousand, six hundred seventy-two".