1025967072 has 192 divisors, whose sum is σ = 3126767616. Its totient is φ = 291962880.

The previous prime is 1025967053. The next prime is 1025967083. The reversal of 1025967072 is 2707695201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1025967072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889248 + ... + 890400.

It is an arithmetic number, because the mean of its divisors is an integer number (16285248).

Almost surely, 2^1025967072 is an apocalyptic number.

1025967072 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 1025967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563383808).

1025967072 is an abundant number, since it is smaller than the sum of its proper divisors (2100800544).

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

1025967072 is a wasteful number, since it uses less digits than its factorization.

1025967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1025967072 is about 32030.7207536765. The cubic root of 1025967072 is about 1008.5818321459.

The spelling of 1025967072 in words is "one billion, twenty-five million, nine hundred sixty-seven thousand, seventy-two".