72427392 has 128 divisors (see below), whose sum is σ = 225216000. Its totient is φ = 22851072.

The previous prime is 72427367. The next prime is 72427409. The reversal of 72427392 is 29372427.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×72427392² = 10491454223843328, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65113 + ... + 66215.

It is an arithmetic number, because the mean of its divisors is an integer number (1759500).

Almost surely, 2^72427392 is an apocalyptic number.

72427392 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 72427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112608000).

72427392 is an abundant number, since it is smaller than the sum of its proper divisors (152788608).

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

72427392 is a wasteful number, since it uses less digits than its factorization.

72427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72427392 is about 8510.4284263485. The cubic root of 72427392 is about 416.8382997091.

The spelling of 72427392 in words is "seventy-two million, four hundred twenty-seven thousand, three hundred ninety-two".