72524376 has 64 divisors (see below), whose sum is σ = 207974400. Its totient is φ = 23392800.

The previous prime is 72524369. The next prime is 72524381. The reversal of 72524376 is 67342527.

It is a happy number.

It is a super-2 number, since 2×72524376² = 10519570228378752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72524376.

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, 1281 + ... + 12111.

It is an arithmetic number, because the mean of its divisors is an integer number (3249600).

Almost surely, 2^72524376 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 72524376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103987200).

72524376 is an abundant number, since it is smaller than the sum of its proper divisors (135450024).

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

72524376 is a wasteful number, since it uses less digits than its factorization.

72524376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877 (or 10867 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72524376 is about 8516.1244706733. The cubic root of 72524376 is about 417.0242726930.

It can be divided in two parts, 72524 and 376, that added together give a square (72900 = 270²).

The spelling of 72524376 in words is "seventy-two million, five hundred twenty-four thousand, three hundred seventy-six".