72967770 has 64 divisors (see below), whose sum is σ = 201312000. Its totient is φ = 18785088.

The previous prime is 72967759. The next prime is 72967787. The reversal of 72967770 is 7776927.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 3171 + ... + 12489.

It is an arithmetic number, because the mean of its divisors is an integer number (3145500).

Almost surely, 2^72967770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72967770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100656000).

72967770 is an abundant number, since it is smaller than the sum of its proper divisors (128344230).

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

72967770 is a wasteful number, since it uses less digits than its factorization.

72967770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 72967770 is about 8542.1174190010. The cubic root of 72967770 is about 417.8724036880.

It can be divided in two parts, 72967 and 770, that added together give a palindrome (73737).

The spelling of 72967770 in words is "seventy-two million, nine hundred sixty-seven thousand, seven hundred seventy".