78153372 has 72 divisors (see below), whose sum is σ = 217107072. Its totient is φ = 23508000.

The previous prime is 78153371. The next prime is 78153373. The reversal of 78153372 is 27335187.

It is an interprime number because it is at equal distance from previous prime (78153371) and next prime (78153373).

It is a super-2 number, since 2×78153372² = 12215899109940768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78153371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59143 + ... + 60449.

It is an arithmetic number, because the mean of its divisors is an integer number (3015376).

Almost surely, 2^78153372 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 78153372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108553536).

78153372 is an abundant number, since it is smaller than the sum of its proper divisors (138953700).

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

78153372 is a wasteful number, since it uses less digits than its factorization.

78153372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 78153372 is about 8840.4395818308. The cubic root of 78153372 is about 427.5457302060.

The spelling of 78153372 in words is "seventy-eight million, one hundred fifty-three thousand, three hundred seventy-two".