78337672 has 48 divisors (see below), whose sum is σ = 171660060. Its totient is φ = 33417216.

The previous prime is 78337669. The next prime is 78337681. The reversal of 78337672 is 27673387.

It can be written as a sum of positive squares in 2 ways, for example, as 78039556 + 298116 = 8834^2 + 546^2 .

It is a super-2 number, since 2×78337672² = 12273581708759168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131808 + ... + 132400.

Almost surely, 2^78337672 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 78337672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85830030).

78337672 is an abundant number, since it is smaller than the sum of its proper divisors (93322388).

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

78337672 is a wasteful number, since it uses less digits than its factorization.

78337672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its digits is 296352, while the sum is 43.

The square root of 78337672 is about 8850.8571336340. The cubic root of 78337672 is about 427.8815434839.

The spelling of 78337672 in words is "seventy-eight million, three hundred thirty-seven thousand, six hundred seventy-two".