72273024 has 96 divisors (see below), whose sum is σ = 212955600. Its totient is φ = 23514624.

The previous prime is 72273023. The next prime is 72273031. The reversal of 72273024 is 42037227.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (72273023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48807 + ... + 50265.

Almost surely, 2^72273024 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 72273024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106477800).

72273024 is an abundant number, since it is smaller than the sum of its proper divisors (140682576).

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

72273024 is a wasteful number, since it uses less digits than its factorization.

72273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72273024 is about 8501.3542450600. The cubic root of 72273024 is about 416.5419465292.

The spelling of 72273024 in words is "seventy-two million, two hundred seventy-three thousand, twenty-four".