1483125072 has 180 divisors, whose sum is σ = 4563270432. Its totient is φ = 414585600.

The previous prime is 1483125037. The next prime is 1483125097. The reversal of 1483125072 is 2705213841.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 35 ways as a sum of consecutive naturals, for example, 980797 + ... + 982307.

Almost surely, 2^1483125072 is an apocalyptic number.

1483125072 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 1483125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281635216).

1483125072 is an abundant number, since it is smaller than the sum of its proper divisors (3080145360).

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

1483125072 is a wasteful number, since it uses less digits than its factorization.

1483125072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1483125072 is about 38511.3628946055. The cubic root of 1483125072 is about 1140.4053836833.

It can be divided in two parts, 14831 and 25072, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 1483125072 in words is "one billion, four hundred eighty-three million, one hundred twenty-five thousand, seventy-two".