72770544 has 120 divisors (see below), whose sum is σ = 253948032. Its totient is φ = 18898560.

The previous prime is 72770539. The next prime is 72770563. The reversal of 72770544 is 44507727.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 72770499 and 72770508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7807 + ... + 14369.

Almost surely, 2^72770544 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 72770544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126974016).

72770544 is an abundant number, since it is smaller than the sum of its proper divisors (181177488).

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

72770544 is a wasteful number, since it uses less digits than its factorization.

72770544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 72770544 is about 8530.5652802144. The cubic root of 72770544 is about 417.4955721619.

The spelling of 72770544 in words is "seventy-two million, seven hundred seventy thousand, five hundred forty-four".