45239072 has 54 divisors (see below), whose sum is σ = 94546179. Its totient is φ = 21306880.

The previous prime is 45239071. The next prime is 45239083. The reversal of 45239072 is 27093254.

It is a happy number.

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 5 ways, for example, as 2676496 + 42562576 = 1636^2 + 6524^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4756.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45239071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1103372 + ... + 1103412.

Almost surely, 2^45239072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45239072

45239072 is an abundant number, since it is smaller than the sum of its proper divisors (49307107).

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

45239072 is an equidigital number, since it uses as much as digits as its factorization.

45239072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 45239072 is about 6725.9997026464. Note that the first 3 decimals coincide. The cubic root of 45239072 is about 356.3181098051.

Multiplying 45239072 by its sum of digits (32), we get a square (1447650304 = 38048²).

45239072 divided by its sum of digits (32) gives a triangular number (1413721 = T₁₆₈₁).

The spelling of 45239072 in words is "forty-five million, two hundred thirty-nine thousand, seventy-two".