72524640 has 96 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 19183104.

The previous prime is 72524623. The next prime is 72524659. The reversal of 72524640 is 4642527.

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

It is a super-4 number, since 4×72524640⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72524598 and 72524607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66177 + ... + 67263.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^72524640 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 72524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

72524640 is an abundant number, since it is smaller than the sum of its proper divisors (157783200).

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

72524640 is a wasteful number, since it uses less digits than its factorization.

72524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 72524640 is about 8516.1399706675. The cubic root of 72524640 is about 417.0247787034.

The spelling of 72524640 in words is "seventy-two million, five hundred twenty-four thousand, six hundred forty".