72774042 has 64 divisors (see below), whose sum is σ = 172761984. Its totient is φ = 20183040.

The previous prime is 72774041. The next prime is 72774049. The reversal of 72774042 is 24047727.

It is a super-2 number, since 2×72774042² = 10592122378035528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72773994 and 72774012.

It is not an unprimeable number, because it can be changed into a prime (72774041) by changing a digit.

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, 40638 + ... + 42390.

It is an arithmetic number, because the mean of its divisors is an integer number (2699406).

Almost surely, 2^72774042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72774042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86380992).

72774042 is an abundant number, since it is smaller than the sum of its proper divisors (99987942).

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

72774042 is a wasteful number, since it uses less digits than its factorization.

72774042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823.

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 72774042 is about 8530.7703051952. The cubic root of 72774042 is about 417.5022615724.

The spelling of 72774042 in words is "seventy-two million, seven hundred seventy-four thousand, forty-two".