72049824 has 360 divisors, whose sum is σ = 278818848. Its totient is φ = 17729280.

The previous prime is 72049793. The next prime is 72049837. The reversal of 72049824 is 42894027.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3792087 + ... + 3792105.

Almost surely, 2^72049824 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 72049824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139409424).

72049824 is an abundant number, since it is smaller than the sum of its proper divisors (206769024).

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

72049824 is a wasteful number, since it uses less digits than its factorization.

72049824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72049824 is about 8488.2167738577. The cubic root of 72049824 is about 416.1127036842.

The spelling of 72049824 in words is "seventy-two million, forty-nine thousand, eight hundred twenty-four".