72526272 has 168 divisors, whose sum is σ = 240798096. Its totient is φ = 19095552.

The previous prime is 72526261. The next prime is 72526277. The reversal of 72526272 is 27262527.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72526277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122008 + ... + 122600.

It is an arithmetic number, because the mean of its divisors is an integer number (1433322).

Almost surely, 2^72526272 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 72526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120399048).

72526272 is an abundant number, since it is smaller than the sum of its proper divisors (168271824).

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

72526272 is a wasteful number, since it uses less digits than its factorization.

72526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 72526272 is about 8516.2357881872. The cubic root of 72526272 is about 417.0279067407.

Adding to 72526272 its reverse (27262527), we get a palindrome (99788799).

The spelling of 72526272 in words is "seventy-two million, five hundred twenty-six thousand, two hundred seventy-two".