77225472 has 60 divisors (see below), whose sum is σ = 222891240. Its totient is φ = 25740288.

The previous prime is 77225437. The next prime is 77225503. The reversal of 77225472 is 27452277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3772 + ... + 12987.

It is an arithmetic number, because the mean of its divisors is an integer number (3714854).

Almost surely, 2^77225472 is an apocalyptic number.

77225472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77225472 is an abundant number, since it is smaller than the sum of its proper divisors (145665768).

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

77225472 is a wasteful number, since it uses less digits than its factorization.

77225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16764 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 77225472 is about 8787.8024556768. The cubic root of 77225472 is about 425.8469330392.

It can be divided in two parts, 772 and 25472, that added together give a square (26244 = 162²).

The spelling of 77225472 in words is "seventy-seven million, two hundred twenty-five thousand, four hundred seventy-two".