760032072 has 140 divisors (see below), whose sum is σ = 2255312595. Its totient is φ = 240010128.

The previous prime is 760032071. The next prime is 760032083. The reversal of 760032072 is 270230067.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 380016036 + 380016036 = 19494^2 + 19494^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=19494.

It is a super-2 number, since 2×760032072² = 1155297500937226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 760032072 = 114³ + 912³ = 513³ + 855³.

It is not an unprimeable number, because it can be changed into a prime (760032071) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 40001679 + ... + 40001697.

Almost surely, 2^760032072 is an apocalyptic number.

760032072 is a gapful number since it is divisible by the number (72) 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 760032072

760032072 is an abundant number, since it is smaller than the sum of its proper divisors (1495280523).

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

760032072 is an frugal number, since it uses more digits than its factorization.

760032072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 760032072 is about 27568.6791849011. The cubic root of 760032072 is about 912.5933638629.

Multiplying 760032072 by its product of nonzero digits (3528), we get a square (2681393150016 = 1637496²).

The spelling of 760032072 in words is "seven hundred sixty million, thirty-two thousand, seventy-two".