1293190272 has 640 divisors, whose sum is σ = 4798569600. Its totient is φ = 340623360.

The previous prime is 1293190271. The next prime is 1293190273. The reversal of 1293190272 is 2720913921.

It is an interprime number because it is at equal distance from previous prime (1293190271) and next prime (1293190273).

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

It is not an unprimeable number, because it can be changed into a prime (1293190271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44592754 + ... + 44592782.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 2^1293190272 is an apocalyptic number.

1293190272 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 1293190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399284800).

1293190272 is an abundant number, since it is smaller than the sum of its proper divisors (3505379328).

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

1293190272 is a wasteful number, since it uses less digits than its factorization.

1293190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1293190272 is about 35960.9548260332. The cubic root of 1293190272 is about 1089.4838821319.

The spelling of 1293190272 in words is "one billion, two hundred ninety-three million, one hundred ninety thousand, two hundred seventy-two".