72477756 has 72 divisors (see below), whose sum is σ = 198407664. Its totient is φ = 22176000.

The previous prime is 72477751. The next prime is 72477763. The reversal of 72477756 is 65777427.

It is a super-2 number, since 2×72477756² = 10506050229591072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72477751) 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 23 ways as a sum of consecutive naturals, for example, 117160 + ... + 117776.

It is an arithmetic number, because the mean of its divisors is an integer number (2755662).

Almost surely, 2^72477756 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 72477756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99203832).

72477756 is an abundant number, since it is smaller than the sum of its proper divisors (125929908).

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

72477756 is a wasteful number, since it uses less digits than its factorization.

72477756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 72477756 is about 8513.3868701005. The cubic root of 72477756 is about 416.9348965872.

The spelling of 72477756 in words is "seventy-two million, four hundred seventy-seven thousand, seven hundred fifty-six".