72740778 has 96 divisors (see below), whose sum is σ = 173809152. Its totient is φ = 20109600.

The previous prime is 72740771. The next prime is 72740783. The reversal of 72740778 is 87704727.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72740771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024483 + ... + 1024553.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 2^72740778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72740778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86904576).

72740778 is an abundant number, since it is smaller than the sum of its proper divisors (101068374).

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

72740778 is a wasteful number, since it uses less digits than its factorization.

72740778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 72740778 is about 8528.8204342687. The cubic root of 72740778 is about 417.4386403902.

The spelling of 72740778 in words is "seventy-two million, seven hundred forty thousand, seven hundred seventy-eight".