72074496 has 72 divisors (see below), whose sum is σ = 206607520. Its totient is φ = 22173696.

The previous prime is 72074449. The next prime is 72074507. The reversal of 72074496 is 69447027.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6375 + ... + 13593.

Almost surely, 2^72074496 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 72074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103303760).

72074496 is an abundant number, since it is smaller than the sum of its proper divisors (134533024).

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

72074496 is a wasteful number, since it uses less digits than its factorization.

72074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 72074496 is about 8489.6699582493. The cubic root of 72074496 is about 416.1601947140.

The spelling of 72074496 in words is "seventy-two million, seventy-four thousand, four hundred ninety-six".