72042400 has 36 divisors (see below), whose sum is σ = 175875462. Its totient is φ = 28816640.

The previous prime is 72042389. The next prime is 72042407. The reversal of 72042400 is 424027.

It can be written as a sum of positive squares in 3 ways, for example, as 53758224 + 18284176 = 7332^2 + 4276^2 .

It is not an unprimeable number, because it can be changed into a prime (72042407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44227 + ... + 45826.

Almost surely, 2^72042400 is an apocalyptic number.

It is an amenable number.

72042400 is an abundant number, since it is smaller than the sum of its proper divisors (103833062).

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

72042400 is a wasteful number, since it uses less digits than its factorization.

72042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90073 (or 90060 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 72042400 is about 8487.7794504806. The cubic root of 72042400 is about 416.0984111357.

Adding to 72042400 its reverse (424027), we get a palindrome (72466427).

It can be divided in two parts, 7204 and 2400, that added together give a square (9604 = 98²).

The spelling of 72042400 in words is "seventy-two million, forty-two thousand, four hundred".