72677472 has 144 divisors (see below), whose sum is σ = 226920960. Its totient is φ = 19948032.

The previous prime is 72677471. The next prime is 72677477. The reversal of 72677472 is 27477627.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72677471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919929 + ... + 920007.

It is an arithmetic number, because the mean of its divisors is an integer number (1575840).

Almost surely, 2^72677472 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 72677472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

72677472 is an abundant number, since it is smaller than the sum of its proper divisors (154243488).

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

72677472 is a wasteful number, since it uses less digits than its factorization.

72677472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 128 counting only the distinct ones).

The product of its digits is 230496, while the sum is 42.

The square root of 72677472 is about 8525.1083277575. The cubic root of 72677472 is about 417.3175068653.

The spelling of 72677472 in words is "seventy-two million, six hundred seventy-seven thousand, four hundred seventy-two".