967472072 has 36 divisors (see below), whose sum is σ = 2111519115. Its totient is φ = 414366960.

The previous prime is 967472053. The next prime is 967472081. The reversal of 967472072 is 270274769.

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., 483736036 + 483736036 = 21994^2 + 21994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=21994.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 615047 + ... + 616617.

Almost surely, 2^967472072 is an apocalyptic number.

It is an amenable number.

967472072 is an abundant number, since it is smaller than the sum of its proper divisors (1144047043).

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

967472072 is an equidigital number, since it uses as much as digits as its factorization.

967472072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 967472072 is about 31104.2130908339. The cubic root of 967472072 is about 989.0376227482.

The spelling of 967472072 in words is "nine hundred sixty-seven million, four hundred seventy-two thousand, seventy-two".