77153472 has 252 divisors, whose sum is σ = 258229608. Its totient is φ = 22809600.

The previous prime is 77153467. The next prime is 77153539. The reversal of 77153472 is 27435177.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881772 + ... + 1881812.

Almost surely, 2^77153472 is an apocalyptic number.

77153472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129114804).

77153472 is an abundant number, since it is smaller than the sum of its proper divisors (181076136).

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

77153472 is a wasteful number, since it uses less digits than its factorization.

77153472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 77153472 is about 8783.7049130763. The cubic root of 77153472 is about 425.7145479074.

The spelling of 77153472 in words is "seventy-seven million, one hundred fifty-three thousand, four hundred seventy-two".