72649458 has 90 divisors (see below), whose sum is σ = 188218797. Its totient is φ = 20250720.

The previous prime is 72649457. The next prime is 72649471. The reversal of 72649458 is 85494627.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51883209 + 20766249 = 7203^2 + 4557^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6027.

It is not an unprimeable number, because it can be changed into a prime (72649453) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1771918 + ... + 1771958.

Almost surely, 2^72649458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72649458

72649458 is an abundant number, since it is smaller than the sum of its proper divisors (115569339).

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

72649458 is an equidigital number, since it uses as much as digits as its factorization.

72649458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72649458 is about 8523.4651404226. The cubic root of 72649458 is about 417.2638807337.

The spelling of 72649458 in words is "seventy-two million, six hundred forty-nine thousand, four hundred fifty-eight".