1072753632 has 72 divisors (see below), whose sum is σ = 3163652856. Its totient is φ = 357581952.

The previous prime is 1072753613. The next prime is 1072753657. The reversal of 1072753632 is 2363572701.

1072753632 is a `hidden beast` number, since 10 + 7 + 2 + 7 + 5 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61203 + ... + 76754.

It is an arithmetic number, because the mean of its divisors is an integer number (43939623).

Almost surely, 2^1072753632 is an apocalyptic number.

1072753632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1072753632 is an abundant number, since it is smaller than the sum of its proper divisors (2090899224).

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

1072753632 is an equidigital number, since it uses as much as digits as its factorization.

1072753632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137982 (or 137962 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1072753632 is about 32752.9179158132. The cubic root of 1072753632 is about 1023.6857658043.

The spelling of 1072753632 in words is "one billion, seventy-two million, seven hundred fifty-three thousand, six hundred thirty-two".