77272544 has 48 divisors (see below), whose sum is σ = 162424080. Its totient is φ = 36080640.

The previous prime is 77272541. The next prime is 77272549. The reversal of 77272544 is 44527277.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 77272498 and 77272507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77272541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43514 + ... + 45254.

It is an arithmetic number, because the mean of its divisors is an integer number (3383835).

Almost surely, 2^77272544 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 77272544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81212040).

77272544 is an abundant number, since it is smaller than the sum of its proper divisors (85151536).

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

77272544 is a wasteful number, since it uses less digits than its factorization.

77272544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its digits is 109760, while the sum is 38.

The square root of 77272544 is about 8790.4803054213. The cubic root of 77272544 is about 425.9334390191.

The spelling of 77272544 in words is "seventy-seven million, two hundred seventy-two thousand, five hundred forty-four".