72626736 has 120 divisors (see below), whose sum is σ = 232366080. Its totient is φ = 19139328.

The previous prime is 72626717. The next prime is 72626747. The reversal of 72626736 is 63762627.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (127008) is a multiple of the sum of its prime factors (1323).

It is a junction number, because it is equal to n+sod(n) for n = 72626694 and 72626703.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56145 + ... + 57423.

It is an arithmetic number, because the mean of its divisors is an integer number (1936384).

Almost surely, 2^72626736 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 72626736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116183040).

72626736 is an abundant number, since it is smaller than the sum of its proper divisors (159739344).

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

72626736 is a wasteful number, since it uses less digits than its factorization.

72626736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1304 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 72626736 is about 8522.1321275840. The cubic root of 72626736 is about 417.2203747495.

The spelling of 72626736 in words is "seventy-two million, six hundred twenty-six thousand, seven hundred thirty-six".