72290778 has 48 divisors (see below), whose sum is σ = 169560864. Its totient is φ = 20485920.

The previous prime is 72290741. The next prime is 72290809. The reversal of 72290778 is 87709227.

It is a super-3 number, since 3×72290778³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 37576 + ... + 39452.

It is an arithmetic number, because the mean of its divisors is an integer number (3532518).

Almost surely, 2^72290778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72290778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84780432).

72290778 is an abundant number, since it is smaller than the sum of its proper divisors (97270086).

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

72290778 is a wasteful number, since it uses less digits than its factorization.

72290778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 72290778 is about 8502.3983675196. The cubic root of 72290778 is about 416.5760518327.

The spelling of 72290778 in words is "seventy-two million, two hundred ninety thousand, seven hundred seventy-eight".