72435376 has 20 divisors (see below), whose sum is σ = 151139632. Its totient is φ = 33431616.

The previous prime is 72435367. The next prime is 72435379. The reversal of 72435376 is 67353427.

72435376 = 1489² + 1490² + ... + 1520².

It is a super-2 number, since 2×72435376² = 10493767392522752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72435379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173916 + ... + 174331.

Almost surely, 2^72435376 is an apocalyptic number.

It is an amenable number.

72435376 is an abundant number, since it is smaller than the sum of its proper divisors (78704256).

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

72435376 is a wasteful number, since it uses less digits than its factorization.

72435376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348268 (or 348262 counting only the distinct ones).

The product of its digits is 105840, while the sum is 37.

The square root of 72435376 is about 8510.8974849895. The cubic root of 72435376 is about 416.8536158053.

It can be divided in two parts, 724 and 35376, that added together give a square (36100 = 190²).

The spelling of 72435376 in words is "seventy-two million, four hundred thirty-five thousand, three hundred seventy-six".