1072592640 has 432 divisors, whose sum is σ = 4346754048. Its totient is φ = 239099904.

The previous prime is 1072592627. The next prime is 1072592659. The reversal of 1072592640 is 462952701.

1072592640 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 5 + 9 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1072592595 and 1072592604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3789939 + ... + 3790221.

Almost surely, 2^1072592640 is an apocalyptic number.

1072592640 is a gapful number since it is divisible by the number (10) 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 1072592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173377024).

1072592640 is an abundant number, since it is smaller than the sum of its proper divisors (3274161408).

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

1072592640 is a wasteful number, since it uses less digits than its factorization.

1072592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1072592640 is about 32750.4601494391. The cubic root of 1072592640 is about 1023.6345538395.

The spelling of 1072592640 in words is "one billion, seventy-two million, five hundred ninety-two thousand, six hundred forty".