1072640952 has 96 divisors (see below), whose sum is σ = 3006385200. Its totient is φ = 345226752.

The previous prime is 1072640941. The next prime is 1072640957. The reversal of 1072640952 is 2590462701.

1072640952 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 640 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×1072640952² = 2301117223814932608, which contains 22 as substring.

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 (1072640957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363499 + ... + 366437.

Almost surely, 2^1072640952 is an apocalyptic number.

1072640952 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 1072640952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503192600).

1072640952 is an abundant number, since it is smaller than the sum of its proper divisors (1933744248).

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

1072640952 is a wasteful number, since it uses less digits than its factorization.

1072640952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3118 counting only the distinct ones).

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

The square root of 1072640952 is about 32751.1977185568. The cubic root of 1072640952 is about 1023.6499225478.

The spelling of 1072640952 in words is "one billion, seventy-two million, six hundred forty thousand, nine hundred fifty-two".