72177648 has 80 divisors (see below), whose sum is σ = 198871200. Its totient is φ = 22478848.

The previous prime is 72177647. The next prime is 72177653. The reversal of 72177648 is 84677127.

It is a super-2 number, since 2×72177648² = 10419225741623808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72177643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160528 + ... + 160976.

It is an arithmetic number, because the mean of its divisors is an integer number (2485890).

Almost surely, 2^72177648 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 72177648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99435600).

72177648 is an abundant number, since it is smaller than the sum of its proper divisors (126693552).

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

72177648 is a wasteful number, since it uses less digits than its factorization.

72177648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 72177648 is about 8495.7429339640. The cubic root of 72177648 is about 416.3586342724.

The spelling of 72177648 in words is "seventy-two million, one hundred seventy-seven thousand, six hundred forty-eight".