72663552 has 120 divisors (see below), whose sum is σ = 226029804. Its totient is φ = 22339584.

The previous prime is 72663533. The next prime is 72663553. The reversal of 72663552 is 25536627.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 15872256 = 7536^2 + 3984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72663553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59298 + ... + 60510.

Almost surely, 2^72663552 is an apocalyptic number.

72663552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113014902).

72663552 is an abundant number, since it is smaller than the sum of its proper divisors (153366252).

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

72663552 is a wasteful number, since it uses less digits than its factorization.

72663552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1231 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 72663552 is about 8524.2918767485. The cubic root of 72663552 is about 417.2908620631.

It can be divided in two parts, 72 and 663552, that multiplied together give a square (47775744 = 6912²).

The spelling of 72663552 in words is "seventy-two million, six hundred sixty-three thousand, five hundred fifty-two".